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2411.01276
Pablo Ochoa Mr
Pablo Ochoa and Anal\'ia Silva
Nonlinear eigenvalue problems for a biharmonic operator in Orlicz-Sobolev spaces
null
null
null
null
math.AP
http://creativecommons.org/publicdomain/zero/1.0/
In this paper, we introduce a new higher-order Laplacian operator in the framework of Orlicz-Sobolev spaces, the biharmonic g-Laplacian $$\Delta_g^2 u:=\Delta \left(\dfrac{g(|\Delta u|)}{|\Delta u|} \Delta u\right),$$ where $g=G'$, with $G$ an N-function. This operator is a generalization of the so called bi-harmonic Laplacian $\Delta^2$. Here, we also established basic functional properties of $\Delta_g^2$, which can be applied to existence results. Afterwards, we study the eigenvalues of $\Delta_g^2$, which depend on normalisation conditions, due to the lack of homogeneity of the operator. Finally, we study different nonlinear eigenvalue problems associated to $\Delta_g^2$ and we show regimes where the corresponding spectrum concentrate at $0$, $\infty$ or coincide with $(0, \infty)$.
[ { "version": "v1", "created": "Sat, 2 Nov 2024 15:04:07 GMT" } ]
2024-11-05T00:00:00
[ [ "Ochoa", "Pablo", "" ], [ "Silva", "Analía", "" ] ]
2011.08011
Jaydip Sen
Sidra Mehtab, Jaydip Sen and Subhasis Dasgupta
Robust Analysis of Stock Price Time Series Using CNN and LSTM-Based Deep Learning Models
The paper is the accepted version of our work in the 4th IEEE International Conference on Electronics, Communication, and Aerospace Technology (ICECA'20), November 5 - 7, 2020, Coimbatore, INDIA, The paper consists of 10 pages. It contains 12 figures and 8 tables
null
10.1109/ICECA49313.2020.9297652
null
q-fin.ST cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Prediction of stock price and stock price movement patterns has always been a critical area of research. While the well-known efficient market hypothesis rules out any possibility of accurate prediction of stock prices, there are formal propositions in the literature demonstrating accurate modeling of the predictive systems that can enable us to predict stock prices with a very high level of accuracy. In this paper, we present a suite of deep learning-based regression models that yields a very high level of accuracy in stock price prediction. To build our predictive models, we use the historical stock price data of a well-known company listed in the National Stock Exchange (NSE) of India during the period December 31, 2012 to January 9, 2015. The stock prices are recorded at five minutes intervals of time during each working day in a week. Using these extremely granular stock price data, we build four convolutional neural network (CNN) and five long- and short-term memory (LSTM)-based deep learning models for accurate forecasting of the future stock prices. We provide detailed results on the forecasting accuracies of all our proposed models based on their execution time and their root mean square error (RMSE) values.
[ { "version": "v1", "created": "Sat, 7 Nov 2020 16:07:10 GMT" }, { "version": "v2", "created": "Sat, 2 Jan 2021 08:04:43 GMT" } ]
2021-01-05T00:00:00
[ [ "Mehtab", "Sidra", "" ], [ "Sen", "Jaydip", "" ], [ "Dasgupta", "Subhasis", "" ] ]
1711.09447
Marina Gonchenko
M. Gonchenko, S.V. Gonchenko, I. Ovsyannikov, and A. Vieiro
On local and global aspects of the 1:4 resonance in the conservative cubic H\'enon maps
21 pages, 13 figures
null
10.1063/1.5022764
null
math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the 1:4 resonance for the conservative cubic H\'enon maps $\mathbf{C}_\pm$ with positive and negative cubic term. These maps show up different bifurcation structures both for fixed points with eigenvalues $\pm i$ and for 4-periodic orbits. While for $\mathbf{C}_-$ the 1:4 resonance unfolding has the so-called Arnold degeneracy (the first Birkhoff twist coefficient equals (in absolute value) to the first resonant term coefficient), the map $\mathbf{C}_+$ has a different type of degeneracy because the resonant term can vanish. In the last case, non-symmetric points are created and destroyed at pitchfork bifurcations and, as a result of global bifurcations, the 1:4 resonant chain of islands rotates by $\pi/4$. For both maps several bifurcations are detected and illustrated.
[ { "version": "v1", "created": "Sun, 26 Nov 2017 20:03:31 GMT" } ]
2018-05-23T00:00:00
[ [ "Gonchenko", "M.", "" ], [ "Gonchenko", "S. V.", "" ], [ "Ovsyannikov", "I.", "" ], [ "Vieiro", "A.", "" ] ]
2105.01413
Lars Jaffke
Lars Jaffke, O-joung Kwon, Jan Arne Telle
Classes of intersection digraphs with good algorithmic properties
null
null
null
null
math.CO cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An intersection digraph is a digraph where every vertex $v$ is represented by an ordered pair $(S_v, T_v)$ of sets such that there is an edge from $v$ to $w$ if and only if $S_v$ and $T_w$ intersect. An intersection digraph is reflexive if $S_v\cap T_v\neq \emptyset$ for every vertex $v$. Compared to well-known undirected intersection graphs like interval graphs and permutation graphs, not many algorithmic applications on intersection digraphs have been developed. Motivated by the successful story on algorithmic applications of intersection graphs using a graph width parameter called mim-width, we introduce its directed analogue called `bi-mim-width' and prove that various classes of reflexive intersection digraphs have bounded bi-mim-width. In particular, we show that as a natural extension of $H$-graphs, reflexive $H$-digraphs have linear bi-mim-width at most $12|E(H)|$, which extends a bound on the linear mim-width of $H$-graphs [On the Tractability of Optimization Problems on $H$-Graphs. Algorithmica 2020]. For applications, we introduce a novel framework of directed versions of locally checkable problems, that streamlines the definitions and the study of many problems in the literature and facilitates their common algorithmic treatment. We obtain unified polynomial-time algorithms for these problems on digraphs of bounded bi-mim-width, when a branch decomposition is given. Locally checkable problems include Kernel, Dominating Set, and Directed $H$-Homomorphism.
[ { "version": "v1", "created": "Tue, 4 May 2021 10:59:39 GMT" } ]
2021-05-05T00:00:00
[ [ "Jaffke", "Lars", "" ], [ "Kwon", "O-joung", "" ], [ "Telle", "Jan Arne", "" ] ]
2204.11969
Alex Hamill
Tao Qu, Alex Hamill, R. H. Victora, P. A. Crowell
Oscillations and confluence in three-magnon scattering of ferromagnetic resonance
null
null
10.1103/PhysRevB.107.L060401
null
cond-mat.mes-hall
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We have performed a time-resolved and phase-sensitive investigation of three-magnon scattering of ferromagnetic resonance (FMR) over several orders of magnitude in excitation power. We observe a regime that hosts transient oscillations of the FMR magnon population, despite higher-order magnon interactions at large powers. Also at high powers, the scattering generates $180^\circ$ phase shifts of the FMR magnons. These phase shifts correspond to reversals in the three-magnon scattering direction, between splitting and confluence. These scattering reversals are most directly observed after removing the microwave excitation, generating coherent oscillations of the FMR magnon population much larger than its steady-state value during the excitation. Our model is in strong agreement with these findings. These findings reveal the transient behavior of this three-magnon scattering process, and the nontrivial interplay between three-magnon scattering and the magnons' phases.
[ { "version": "v1", "created": "Mon, 25 Apr 2022 21:19:16 GMT" }, { "version": "v2", "created": "Thu, 28 Apr 2022 16:31:39 GMT" }, { "version": "v3", "created": "Tue, 9 Aug 2022 17:58:03 GMT" }, { "version": "v4", "created": "Sat, 31 Dec 2022 16:07:44 GMT" } ]
2023-02-15T00:00:00
[ [ "Qu", "Tao", "" ], [ "Hamill", "Alex", "" ], [ "Victora", "R. H.", "" ], [ "Crowell", "P. A.", "" ] ]
2411.11404
Roberto Tauraso
James A. Sellers, Roberto Tauraso
Arithmetic properties of MacMahon-type sums of divisors
null
null
null
null
math.NT math.CO
http://creativecommons.org/licenses/by/4.0/
In this paper, we prove several new infinite families of Ramanujan--like congruences satisfied by the coefficients of the generating function $U_t(a,q)$ which is an extension of MacMahon's generalized sum-of-divisors function. As a by-product, we also show that, for all $n\geq 0$, $\overline{B}_3(15n+7)\equiv 0 \pmod{5}$ where $\overline{B}_3(n)$ is the number of almost $3$-regular overpartitions of $n$.
[ { "version": "v1", "created": "Mon, 18 Nov 2024 09:27:32 GMT" } ]
2024-11-19T00:00:00
[ [ "Sellers", "James A.", "" ], [ "Tauraso", "Roberto", "" ] ]
1908.04478
EPTCS
Thomas Seiller (CNRS, France), Steffen Jost (LMU Munich, Germany)
Proceedings Third Joint Workshop on Developments in Implicit Computational complExity and Foundational & Practical Aspects of Resource Analysis
null
EPTCS 298, 2019
10.4204/EPTCS.298
null
cs.CC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These proceedings present the accepted regular papers and some selected extended abstracts from the 3rd joint DICE-FOPARA workshop, which was held in Prague, Czech Republic on April 6-7, 2019, as a part of ETAPS. The joint workshop provides synergies by combining two complementary communities: The 10th DICE workshop explores the area of Implicit Computational Complexity (ICC), which grew out from several proposals to use logic and formal methods to provide languages for complexity-bounded computation (e.g. Ptime, Logspace computation). It aims at studying the computational complexity of programs without referring to external measuring conditions or a particular machine model, but only by considering language restrictions or logical/computational principles entailing complexity properties. Several approaches have been explored for that purpose, such as restrictions on primitive recursion and ramification, rewriting systems, linear logic, types and lambda calculus, interpretations of functional and imperative programs. The 6th FOPARA workshop serves as a forum for presenting original research results that are relevant to the analysis of resource (e.g. time, space, energy) consumption by computer programs. The workshop aims to bring together the researchers that work on foundational issues with the researchers that focus more on practical results. Therefore, both theoretical and practical contributions are encouraged. We also encourage papers that combine theory and practice. This third joint DICE-FOPARA workshop at ETAPS 2019 follows the successful experiences of co-location of DICE-FOPARA at ETAPS 2015 in London and ETAPS 2017 in Uppsala.
[ { "version": "v1", "created": "Tue, 13 Aug 2019 04:09:00 GMT" } ]
2019-08-14T00:00:00
[ [ "Seiller", "Thomas", "", "CNRS, France" ], [ "Jost", "Steffen", "", "LMU Munich, Germany" ] ]
2308.06862
Erfan Loghmani
Erfan Loghmani, MohammadAmin Fazli
Effect of Choosing Loss Function when Using T-batching for Representation Learning on Dynamic Networks
29 pages, 10 figures, 4 tables, Submitted to Information Sciences
null
null
null
cs.LG cs.SI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Representation learning methods have revolutionized machine learning on networks by converting discrete network structures into continuous domains. However, dynamic networks that evolve over time pose new challenges. To address this, dynamic representation learning methods have gained attention, offering benefits like reduced learning time and improved accuracy by utilizing temporal information. T-batching is a valuable technique for training dynamic network models that reduces training time while preserving vital conditions for accurate modeling. However, we have identified a limitation in the training loss function used with t-batching. Through mathematical analysis, we propose two alternative loss functions that overcome these issues, resulting in enhanced training performance. We extensively evaluate the proposed loss functions on synthetic and real-world dynamic networks. The results consistently demonstrate superior performance compared to the original loss function. Notably, in a real-world network characterized by diverse user interaction histories, the proposed loss functions achieved more than 26.9% enhancement in Mean Reciprocal Rank (MRR) and more than 11.8% improvement in Recall@10. These findings underscore the efficacy of the proposed loss functions in dynamic network modeling.
[ { "version": "v1", "created": "Sun, 13 Aug 2023 23:34:36 GMT" } ]
2023-08-15T00:00:00
[ [ "Loghmani", "Erfan", "" ], [ "Fazli", "MohammadAmin", "" ] ]
1909.00856
Misha Neklyudov Dr
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
Convex topological algebras via linear vector fields and Cuntz algebras
19 pages
null
null
null
math.FA math.RA math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Realization by linear vector fields is constructed for any Lie algebra which admits a biorthogonal system and for its any suitable representation. The embedding into Lie algebras of linear vector fields is analogous to the classical Jordan-Schwinger map. A number of examples of such Lie algebras of linear vector fields is computed. In particular, we obtain examples of the twisted Heisenberg-Virasoro Lie algebra and the Schr\"odinger-Virasoro Lie algebras among others. More generally, we construct an embedding of an arbitrary locally convex topological algebra into the Cuntz algebra.
[ { "version": "v1", "created": "Mon, 2 Sep 2019 20:37:07 GMT" } ]
2019-09-04T00:00:00
[ [ "Bock", "Wolfgang", "" ], [ "Futorny", "Vyacheslav", "" ], [ "Neklyudov", "Mikhail", "" ] ]
hep-ph/9606222
Aneesh Manohar
Aneesh V. Manohar
Effective Field Theories
52 pages, 20 figures. Uses temuphys.cmm (available from xxx.lanl.gov) One lecture of introductory material added to hep-ph/9508245 (1996 Schladming Winter School Lectures)
null
10.1007/BFb0104294
UCSD/PTH 96-04
hep-ph
null
These lectures introduce some of the basic ideas of effective field theories. The topics discussed include: relevant and irrelevant operators and scaling, renormalization in effective field theories, decoupling of heavy particles, power counting, and naive dimensional analysis. Effective Lagrangians are used to study the $\Delta S=2$ weak interactions and chiral perturbation theory.
[ { "version": "v1", "created": "Tue, 4 Jun 1996 12:52:48 GMT" } ]
2009-10-28T00:00:00
[ [ "Manohar", "Aneesh V.", "" ] ]
2408.15348
Matthias Frey
Matthias Frey, Steven B\"oing, Rui F. G. Ap\'ostolo
A parallel particle cluster algorithm using nearest neighbour graphs and passive target communication
19 pages, 14 figures, 7 tables
null
null
null
cs.DC
http://creativecommons.org/licenses/by/4.0/
We present a parallel cluster algorithm for $N$-body simulations which uses a nearest neighbour search algorithm and one-sided messaging passing interface (MPI) communication. The nearest neighbour is defined by the Euclidean distance in three-dimensional space. The resulting directed nearest neighbour graphs that are used to define the clusters are split up in an iterative procedure with MPI remote memory access (RMA) communication. The method has been implemented as part of the elliptical parcel-in-cell (EPIC) method targeting geophysical fluid flows. The parallel scalability of the algorithm is discussed by means of an artificial and a standard fluid dynamics test case. The cluster algorithm shows good weak and strong scalability up to 16,384 cores with a parallel weak scaling efficiency of about 80% for balanced workloads. In poorly balanced problems, MPI synchronisation dominates execution of the cluster algorithm and thus drastically worsens its parallel scalability.
[ { "version": "v1", "created": "Tue, 27 Aug 2024 18:20:43 GMT" } ]
2024-08-29T00:00:00
[ [ "Frey", "Matthias", "" ], [ "Böing", "Steven", "" ], [ "Apóstolo", "Rui F. G.", "" ] ]
2409.04922
Prakash Chourasia
Sarwan Ali, Prakash Chourasia, Bipin Koirala, Murray Patterson
Nearest Neighbor CCP-Based Molecular Sequence Analysis
null
null
null
null
q-bio.GN cs.AI cs.CC cs.LG
http://creativecommons.org/licenses/by-nc-nd/4.0/
Molecular sequence analysis is crucial for comprehending several biological processes, including protein-protein interactions, functional annotation, and disease classification. The large number of sequences and the inherently complicated nature of protein structures make it challenging to analyze such data. Finding patterns and enhancing subsequent research requires the use of dimensionality reduction and feature selection approaches. Recently, a method called Correlated Clustering and Projection (CCP) has been proposed as an effective method for biological sequencing data. The CCP technique is still costly to compute even though it is effective for sequence visualization. Furthermore, its utility for classifying molecular sequences is still uncertain. To solve these two problems, we present a Nearest Neighbor Correlated Clustering and Projection (CCP-NN)-based technique for efficiently preprocessing molecular sequence data. To group related molecular sequences and produce representative supersequences, CCP makes use of sequence-to-sequence correlations. As opposed to conventional methods, CCP doesn't rely on matrix diagonalization, therefore it can be applied to a range of machine-learning problems. We estimate the density map and compute the correlation using a nearest-neighbor search technique. We performed molecular sequence classification using CCP and CCP-NN representations to assess the efficacy of our proposed approach. Our findings show that CCP-NN considerably improves classification task accuracy as well as significantly outperforms CCP in terms of computational runtime.
[ { "version": "v1", "created": "Sat, 7 Sep 2024 22:06:00 GMT" } ]
2024-09-10T00:00:00
[ [ "Ali", "Sarwan", "" ], [ "Chourasia", "Prakash", "" ], [ "Koirala", "Bipin", "" ], [ "Patterson", "Murray", "" ] ]
0907.0885
Gabriela Litcanu
Gabriela Litcanu, Cristian Morales-Rodrigo
Asymptotic behaviour of global solutions to a model of cell invasion
29 pages
null
null
null
math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness and asymptotic behaviour of nonnegative solutions to the corresponding coupled system of three nonlinear partial differential equations are studied.
[ { "version": "v1", "created": "Sun, 5 Jul 2009 19:51:13 GMT" } ]
2009-07-07T00:00:00
[ [ "Litcanu", "Gabriela", "" ], [ "Morales-Rodrigo", "Cristian", "" ] ]
2409.04314
Thomas Dubbe
Thomas Dubbe
The automaticity of the set of primes
null
null
null
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The automaticity $A(x)$ of a set $\mathcal{X}$ is the size of the smallest automaton that recognizes $\mathcal{X}$ on all words of length $\leq x$. We show that the automaticity of the set of primes is at least $x\exp\left(-c(\log\log x)^2\log\log\log x\right)$, which is fairly close to the maximal automaticity.
[ { "version": "v1", "created": "Fri, 6 Sep 2024 14:40:03 GMT" } ]
2024-09-09T00:00:00
[ [ "Dubbe", "Thomas", "" ] ]
quant-ph/0410134
Marek Kwas
Marek Kwas
Complexity of multivariate Feynman-Kac path integration in randomized and quantum settings
20 pages
null
null
null
quant-ph
null
The Feynman-Kac path integration problem was studied in the worst case setting by Plaskota et al. (J. Comp. Phys. 164 (2000) 335) for the univariate case and by Kwas and Li (J. Comp. 19 (2003) 730) for the multivariate case with d space variables. In this paper we consider the multivariate Feynman-Kac path integration problem in the randomized and quantum settings. For smooth multivariate functions, it was proven in Kwas and Li (2003) that the classical worst case complexity suffers from the curse of dimensionality in d. We show that in both the randomized and quantum settings the curse of dimensionality is vanquished, i.e., the number of function evaluations and/or quantum queries required to compute an e-approximation has a bound independent of d and depending polynomially on 1/e. The exponents of these polynomials are at most 2 in the randomized setting and at most 1 in the quantum setting. Hence we have exponential speedup over the classical worst case setting and quadratic speedup of the quantum setting over the randomized setting. However, both the randomized and quantum algorithms presented here still require extensive precomputing, similar to the algorithms of Plaskota et al. (2000) and Kwas and Li(2003).
[ { "version": "v1", "created": "Mon, 18 Oct 2004 11:47:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Kwas", "Marek", "" ] ]
2110.14975
Thomas Bosman
T. O. S. J. Bosman (1 and 2), M. van Berkel (1), M. R. de Baar (1 and 2) ((1) DIFFER, (2) Eindhoven University of Technology)
Model-based electron density profile estimation and control, applied to ITER
null
null
null
null
physics.plasm-ph cs.SY eess.SY
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In contemporary magnetic confinement devices, the density distribution is sensed with interferometers and actuated with feedback controlled gas injection and open-loop pellet injection. This is at variance with the density control for ITER and DEMO, that will depend mainly on pellet injection as an actuator in feed-back control. This paper presents recent developments in state estimation and control of the electron density profile for ITER using relevant sensors and actuators. As a first step, Thomson scattering is included in an existing dynamic state observer. Second, model predictive control is developed as a strategy to regulate the density profile while avoiding limits associated with the total density (Greenwald limit) or gradients in the density distribution (e.g. neo-classical impurity transport). Simulations show that high quality density profile estimation can be achieved with Thomson Scattering and that the controller is capable of regulating the distribution as desired.
[ { "version": "v1", "created": "Thu, 28 Oct 2021 09:26:38 GMT" } ]
2021-10-29T00:00:00
[ [ "Bosman", "T. O. S. J.", "", "1 and 2" ], [ "van Berkel", "M.", "", "DIFFER" ], [ "de Baar", "M. R.", "", "1 and\n 2" ] ]
1611.03944
Svetlana Varchenko
Andrew Prudhom and Alexander Varchenko
Potentials of a family of arrangements of hyperplanes and elementary subarrangements
Latex , 26 pages, a misprint is corrected. arXiv admin note: text overlap with arXiv:1410.2438
null
null
null
math.AG math.DG nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the Frobenius algebra of functions on the critical set of the master function of a weighted arrangement of hyperplanes in $\C^k$ with normal crossings. We construct two potential functions (of first and second kind) of variables labeled by hyperplanes of the arrangement and prove that the matrix coefficients of the Grothendieck residue bilinear form on the algebra are given by the $2k$-th derivatives of the potential function of first kind and the matrix coefficients of the multiplication operators on the algebra are given by the $(2k+1)$-st derivatives of the potential function of second kind. Thus the two potentials completely determine the Frobenius algebra. The presence of these potentials is a manifestation of a Frobenius like structure similar to the Frobenius manifold structure. We introduce the notion of an elementary subarrangement of an arrangement with normal crossings. It turns out that our potential functions are local in the sense that the potential functions are sums of contributions from elementary subarrangements of the given arrangement. This is a new phenomenon of locality of the Grothendieck residue bilinear form and multiplication on the algebra. It is known that this Frobenius algebra of functions on the critical set is isomorphic to the Bethe algebra of this arrangement. (That Bethe algebra is an analog of the Bethe algebras in the theory of quantum integrable models.) Thus our potential functions describe that Bethe algebra too.
[ { "version": "v1", "created": "Sat, 12 Nov 2016 03:06:49 GMT" }, { "version": "v2", "created": "Fri, 16 Dec 2016 15:33:54 GMT" } ]
2016-12-19T00:00:00
[ [ "Prudhom", "Andrew", "" ], [ "Varchenko", "Alexander", "" ] ]
2111.00727
Zheng Li
Xuebo Zhou, Hongxiong Liu, Wei Wu, Kun Jiang, Youguo Shi, Zheng Li, Yu Sui, Jiangping Hu and Jianlin Luo
Anomalous thermal Hall effect and anomalous Nernst effect of CsV$_{3}$Sb$_{5}$
null
Phys. Rev. B 105, 205104 (2022)
10.1103/PhysRevB.105.205104
null
cond-mat.str-el cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motived by time-reversal symmetry breaking and giant anomalous Hall effect in kagome superconductor \textit{A}V$_3$Sb$_5$ (\textit{A} = Cs, K, Rb), we carried out the thermal transport measurements on CsV$_3$Sb$_5$. In addition to the anomalous Hall effect, the anomalous Nernst effect and the anomalous thermal Hall effect emerge. Interestingly, the longitudinal thermal conductivity $\kappa_{xx}$ largely deviates from the electronic contribution obtained from the longitudinal conductivity $\sigma_{xx}$ by the Wiedemann-Franz law. In contrast, the thermal Hall conductivity $\kappa_{xy}$ is roughly consistent with the Wiedemann-Franz law from electronic contribution. All these results indicate the large phonon contribution in the longitudinal thermal conductivity. Moreover, the thermal Hall conductivity is also slightly greater than the theoretical electronic contribution, indicating other charge neutral contributions. More than that, the Nernst coefficient and Hall resistivity show the multi-band behavior with possible additional contribution from Berry curvature at the low fields.
[ { "version": "v1", "created": "Mon, 1 Nov 2021 06:59:42 GMT" }, { "version": "v2", "created": "Thu, 5 May 2022 17:38:44 GMT" } ]
2022-05-06T00:00:00
[ [ "Zhou", "Xuebo", "" ], [ "Liu", "Hongxiong", "" ], [ "Wu", "Wei", "" ], [ "Jiang", "Kun", "" ], [ "Shi", "Youguo", "" ], [ "Li", "Zheng", "" ], [ "Sui", "Yu", "" ], [ "Hu", "Jiangping", "" ], [ "Luo", "Jianlin", "" ] ]
1004.4412
Pramod N. Achar
Pramod N. Achar
Green functions via hyperbolic localization
14 pages
null
null
null
math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let G be a reductive algebraic group, with nilpotent cone N and flag variety G/B. We construct an exact functor from perverse sheaves on N to locally constant sheaves on G/B, and we use it to study Ext-groups of simple perverse sheaves on N in terms of the cohomology of G/B. As an application, we give new proofs of some known results on stalks of perverse sheaves on N.
[ { "version": "v1", "created": "Mon, 26 Apr 2010 05:36:29 GMT" } ]
2010-04-27T00:00:00
[ [ "Achar", "Pramod N.", "" ] ]
2201.10449
F\'elix Martel
Alexandre Moly, Thomas Costecalde, Felix Martel, Christelle Larzabal, Serpil Karakas, Alexandre Verney, Guillaume Charvet, Stephan Chabardes, Alim Louis Benabid, Tetiana Aksenova
An adaptive closed-loop ECoG decoder for long-term and stable bimanual control of an exoskeleton by a tetraplegic
null
null
null
null
eess.SP cs.LG cs.RO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Brain-computer interfaces (BCIs) still face many challenges to step out of laboratories to be used in real-life applications. A key one persists in the high performance control of diverse effectors for complex tasks, using chronic and safe recorders. This control must be robust over time and of high decoding performance without continuous recalibration of the decoders. In the article, asynchronous control of an exoskeleton by a tetraplegic patient using a chronically implanted epidural electrocorticography (EpiCoG) implant is demonstrated. For this purpose, an adaptive online tensor-based decoder: the Recursive Exponentially Weighted Markov-Switching multi-Linear Model (REW-MSLM) was developed. We demonstrated over a period of 6 months the stability of the 8-dimensional alternative bimanual control of the exoskeleton and its virtual avatar using REW-MSLM without recalibration of the decoder.
[ { "version": "v1", "created": "Tue, 25 Jan 2022 16:51:29 GMT" } ]
2022-01-26T00:00:00
[ [ "Moly", "Alexandre", "" ], [ "Costecalde", "Thomas", "" ], [ "Martel", "Felix", "" ], [ "Larzabal", "Christelle", "" ], [ "Karakas", "Serpil", "" ], [ "Verney", "Alexandre", "" ], [ "Charvet", "Guillaume", "" ], [ "Chabardes", "Stephan", "" ], [ "Benabid", "Alim Louis", "" ], [ "Aksenova", "Tetiana", "" ] ]
cond-mat/0001389
Robert Shrock
Robert Shrock (Yang ITP, SUNY Stony Brook and BNL)
Exact Potts Model Partition Functions on Ladder Graphs
73 pages, Latex, 20 postscript figures, Physica A, in press
Physica A283 (2000) 388-446
10.1016/S0378-4371(00)00109-6
YITP-SB-99-31, BNL-HET-99/35
cond-mat.stat-mech hep-lat math-ph math.MP
null
We present exact calculations of the partition function $Z$ of the $q$-state Potts model and its generalization to real $q$, the random cluster model, for arbitrary temperature on $n$-vertex ladder graphs with free, cyclic, and M\"obius longitudinal boundary conditions. These partition functions are equivalent to Tutte/Whitney polynomials for these graphs. The free energy is calculated exactly for the infinite-length limit of these ladder graphs and the thermodynamics is discussed.
[ { "version": "v1", "created": "Wed, 26 Jan 2000 17:33:09 GMT" } ]
2009-10-31T00:00:00
[ [ "Shrock", "Robert", "", "Yang ITP, SUNY Stony Brook and BNL" ] ]
2407.04248
Zhikun Zhang
Zhikun Zhang, Yiting Duan, Xiangjun Wang and Mingyuan Zhang
Machine Learning for Complex Systems with Abnormal Pattern by Exception Maximization Outlier Detection Method
null
null
null
null
stat.ML cs.LG
http://creativecommons.org/licenses/by/4.0/
This paper proposes a novel fast online methodology for outlier detection called the exception maximization outlier detection method(EMODM), which employs probabilistic models and statistical algorithms to detect abnormal patterns from the outputs of complex systems. The EMODM is based on a two-state Gaussian mixture model and demonstrates strong performance in probability anomaly detection working on real-time raw data rather than using special prior distribution information. We confirm this using the synthetic data from two numerical cases. For the real-world data, we have detected the short circuit pattern of the circuit system using EMODM by the current and voltage output of a three-phase inverter. The EMODM also found an abnormal period due to COVID-19 in the insured unemployment data of 53 regions in the United States from 2000 to 2024. The application of EMODM to these two real-life datasets demonstrated the effectiveness and accuracy of our algorithm.
[ { "version": "v1", "created": "Fri, 5 Jul 2024 04:30:41 GMT" } ]
2024-07-08T00:00:00
[ [ "Zhang", "Zhikun", "" ], [ "Duan", "Yiting", "" ], [ "Wang", "Xiangjun", "" ], [ "Zhang", "Mingyuan", "" ] ]
astro-ph/0301451
Fabrice Martins
F. Martins (1, 2), D. Schaerer (1, 2), M. Heydari-Malayeri (3), ((1) LAT-OMP, Toulouse, (2) Geneva Observatory, Sauverny, (3) Observatoire de Paris, Paris)
Spectroscopic analysis of newborn massive stars in SMC N81
A massive star odyssey : from main sequence to supernovae, Proc. IAU Symp. 212, K.A. van der Hucht, A. Herrero, C. Esteban eds, ASP conf. series, in press
null
null
null
astro-ph
null
We present the first results of a spectroscopic study of young massive stars in the SMC High Excitation Blob N81. These stars have Mv values which are ~ 2 mag smaller than those of nor mal dwarf stars. Their UV STIS spectra reveal features typical of O stars, but surprisingly weak wind components. The preliminary modelling of these spectr a with the code CMFGEN (Hillier & Miller 1998) indicates a mass loss rate of the order 10e-9 Mdot/yr. If confirmed, such a weak wind may indicate either a breakdown of the wind-momentum luminosity relation at low luminosity, or a steeper slope of this relation at low metallicity.
[ { "version": "v1", "created": "Wed, 22 Jan 2003 18:36:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Martins", "F.", "" ], [ "Schaerer", "D.", "" ], [ "Heydari-Malayeri", "M.", "" ] ]
1510.04478
Sunil Mukhi
Harsha R. Hampapura and Sunil Mukhi
On 2d Conformal Field Theories with Two Characters
29 pages, expanded with discussion on chiral algebras, final version to appear in JHEP
null
10.1007/JHEP01(2016)005
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Rational CFT's are classified by an integer $\ell$, the number of zeroes of the Wronskian of their characters in moduli space. For $\ell=0$ they satisfy non-singular modular-invariant differential equations, while for $\ell>0$ the corresponding equations have singularities. We survey CFT's with two characters and $\ell=0,2,3,4$ and verify the consistency, at the level of characters, of some candidate theories with $\ell\ne 0$. For $\ell=2$ there are seven consistents sets of characters. We identify specific combinations of level-1 current algebras that are potential symmetries of the corresponding CFT's.
[ { "version": "v1", "created": "Thu, 15 Oct 2015 11:48:09 GMT" }, { "version": "v2", "created": "Tue, 20 Oct 2015 05:34:04 GMT" }, { "version": "v3", "created": "Sat, 31 Oct 2015 13:14:31 GMT" }, { "version": "v4", "created": "Sat, 19 Dec 2015 18:53:23 GMT" } ]
2016-01-27T00:00:00
[ [ "Hampapura", "Harsha R.", "" ], [ "Mukhi", "Sunil", "" ] ]
2308.12132
Subhendu Kahaly
Mousumi Upadhyay Kahaly, Saibabu Madas, Boris Mesits and Subhendu Kahaly
Tunable ultrafast thermionic emission from femtosecond-laser hot spot on a metal surface: role of laser polarization and angle of incidence
17 pages, 7 figures, 1 table
Applied Surface Science, (2023)
10.1016/j.apsusc.2023.158668
null
physics.optics cond-mat.mes-hall cond-mat.mtrl-sci physics.app-ph physics.plasm-ph
http://creativecommons.org/licenses/by-nc-nd/4.0/
Ultrafast laser induced thermionic emission from metal surfaces has several applications. Here, we investigate the role of laser polarization and angle of incidence on the ultrafast thermionic emission process from laser driven gold coated glass surface. The spatio-temporal evolution of electron and lattice temperatures are obtained using an improved three-dimensional (3D) two-temperature model (TTM) which takes into account the 3D laser pulse profile focused obliquely onto the surface. The associated thermionic emission features are described through modified Richardson-Dushman equation, including dynamic space charge effects and are included self-consistently in our numerical approach. We show that temperature dependent reflectivity influences laser energy absorption. The resulting peak electron temperature on the metal surface monotonically increases with angle of incidence for P polarization, while for S polarization it shows opposite trend. We observe that thermionic emission duration shows strong dependence on angle of incidence and contrasting polarization dependent behaviour. The duration of thermionic current shows strong correlation to the intrinsic electron-lattice thermalization time, in a fluence regime well below the damage threshold of gold. The observations and insights have important consequences in designing ultrafast thermionic emitters based on a metal based architecture.
[ { "version": "v1", "created": "Wed, 23 Aug 2023 13:41:44 GMT" } ]
2023-10-19T00:00:00
[ [ "Kahaly", "Mousumi Upadhyay", "" ], [ "Madas", "Saibabu", "" ], [ "Mesits", "Boris", "" ], [ "Kahaly", "Subhendu", "" ] ]
1605.05858
Moez AbdelGawad
Robert Cartwright, Rebecca Parsons, Moez AbdelGawad
Domain Theory: An Introduction
90 pages
null
null
null
cs.PL cs.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This monograph is an ongoing revision of "Lectures On A Mathematical Theory of Computation" by Dana Scott. Scott's monograph uses a formulation of domains called neighborhood systems in which finite elements are selected subsets of a master set of objects called "tokens". Since tokens have little intuitive significance, Scott has discarded neighborhood systems in favor of an equivalent formulation of domains called information systems. Unfortunately, he has not rewritten his monograph to reflect this change. We have rewritten Scott's monograph in terms of finitary bases instead of information systems. A finitary basis is an information system that is closed under least upper bounds on finite consistent subsets. This convention ensures that every finite answer is represented by a single basis object instead of a set of objects.
[ { "version": "v1", "created": "Thu, 19 May 2016 09:06:01 GMT" }, { "version": "v2", "created": "Mon, 23 May 2016 12:21:17 GMT" }, { "version": "v3", "created": "Thu, 26 May 2016 14:28:34 GMT" }, { "version": "v4", "created": "Tue, 14 Jun 2016 06:36:36 GMT" } ]
2016-06-15T00:00:00
[ [ "Cartwright", "Robert", "" ], [ "Parsons", "Rebecca", "" ], [ "AbdelGawad", "Moez", "" ] ]
2402.11412
Kok Yew Ng Dr
S. Wucherer, R. McMurray, K. Y. Ng, F. Kerber
Predicting Maximum Permitted Process Forces for Object Grasping and Manipulation Using a Deep Learning Regression Model
6 pages, 4 figures, 3 tables, to be submitted as a conference paper to IEEE CCTA2024
null
10.1109/CCTA60707.2024.10666569
null
cs.RO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
During the execution of handling processes in manufacturing, it is difficult to measure the process forces with state-of-the-art gripper systems since they usually lack integrated sensors. Thus, the exact state of the gripped object and the actuating process forces during manipulation and handling are unknown. This paper proposes a deep learning regression model to construct a continuous stability metric to predict the maximum process forces on the gripped objects using high-resolution optical tactile sensors. A pull experiment was developed to obtain a valid dataset for training. Continuously force-based labeled pairs of tactile images for varying grip positions of industrial gearbox parts were acquired to train a novel neural network inspired by encoder-decoder architectures. A ResNet-18 model was used for comparison. Both models can predict the maximum process force for each object with a precision of less than 1 N. During validation, the generalization potential of the proposed methodology with respect to previously unknown objects was demonstrated with an accuracy of 0.4-2.1 N and precision of 1.7-3.4 N, respectively.
[ { "version": "v1", "created": "Sun, 18 Feb 2024 00:59:08 GMT" } ]
2024-10-01T00:00:00
[ [ "Wucherer", "S.", "" ], [ "McMurray", "R.", "" ], [ "Ng", "K. Y.", "" ], [ "Kerber", "F.", "" ] ]
2008.08511
Felix Montag
Felix Montag, Alina Sagimuldina and Monika Schnitzer
Are temporary value-added tax reductions passed on to consumers? Evidence from Germany's stimulus
null
null
null
null
econ.GN q-fin.EC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper provides the first estimates of the pass-through rate of the ongoing temporary value-added tax (VAT) reduction, which is part of the German fiscal response to COVID-19. Using a unique dataset containing the universe of price changes at fuel stations in Germany and France in June and July 2020, we employ a difference-in-differences strategy and find that pass-through is fast and substantial but remains incomplete for all fuel types. Furthermore, we find a high degree of heterogeneity between the pass-through estimates for different fuel types. Our results are consistent with the interpretation that pass-through rates are higher for customer groups who are more likely to exert competitive pressure by shopping for lower prices. Our results have important implications for the effectiveness of the stimulus measure and the cost-effective design of unconventional fiscal policy.
[ { "version": "v1", "created": "Wed, 19 Aug 2020 15:42:15 GMT" } ]
2020-08-20T00:00:00
[ [ "Montag", "Felix", "" ], [ "Sagimuldina", "Alina", "" ], [ "Schnitzer", "Monika", "" ] ]
1712.03440
Noah Giansiracusa
Colin Crowley, Noah Giansiracusa, Joshua Mundinger
A module-theoretic approach to matroids
22 pages; v3 minor corrections/clarifications; to appear in JPAA
Journal of Pure and Applied Algebra 224.2 (2020) 894-916
10.1016/j.jpaa.2019.06.016
null
math.AG math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Speyer recognized that matroids encode the same data as a special class of tropical linear spaces and Shaw interpreted tropically certain basic matroid constructions; additionally, Frenk developed the perspective of tropical linear spaces as modules over an idempotent semifield. All together, this provides bridges between the combinatorics of matroids, the algebra of idempotent modules, and the geometry of tropical linear spaces. The goal of this paper is to strengthen and expand these bridges by systematically developing the idempotent module theory of matroids. Applications include a geometric interpretation of strong matroid maps and the factorization theorem; a generalized notion of strong matroid maps, via an embedding of the category of matroids into a category of module homomorphisms; a monotonicity property for the stable sum and stable intersection of tropical linear spaces; a novel perspective of fundamental transversal matroids; and a tropical analogue of reduced row echelon form.
[ { "version": "v1", "created": "Sat, 9 Dec 2017 21:02:16 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2018 16:26:27 GMT" }, { "version": "v3", "created": "Fri, 3 May 2019 11:28:04 GMT" } ]
2023-03-03T00:00:00
[ [ "Crowley", "Colin", "" ], [ "Giansiracusa", "Noah", "" ], [ "Mundinger", "Joshua", "" ] ]
2311.12667
Karl Larsson
Martin Bj\"orklund, Karl Larsson, Mats G. Larson
Error Estimates for Finite Element Approximations of Viscoelastic Dynamics: The Generalized Maxwell Model
null
Comput. Methods Appl. Mech. Engrg., 425 (2024), paper no 116933
10.1016/j.cma.2024.116933
null
math.NA cs.NA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove error estimates for a finite element approximation of viscoelastic dynamics based on continuous Galerkin in space and time, both in energy norm and in $L^2$ norm. The proof is based on an error representation formula using a discrete dual problem and a stability estimate involving the kinetic, elastic, and viscoelastic energies. To set up the dual error analysis and to prove the basic stability estimates, it is natural to formulate the problem as a system involving evolution equations for the viscoelastic stress, the displacements, and the velocities. The equations for the viscoelastic stress can, however, be solved analytically in terms of the deviatoric strain velocity, and therefore, the viscoelastic stress can be eliminated from the system, resulting in a system for displacements and velocities.
[ { "version": "v1", "created": "Tue, 21 Nov 2023 15:19:07 GMT" }, { "version": "v2", "created": "Tue, 12 Mar 2024 14:49:41 GMT" } ]
2024-03-26T00:00:00
[ [ "Björklund", "Martin", "" ], [ "Larsson", "Karl", "" ], [ "Larson", "Mats G.", "" ] ]
2201.00460
Hai-Yang Cheng
Hai-Yang Cheng, Cheng-Wei Chiang, Zhi-Qing Zhang
Hadronic three-body D decays mediated by scalar resonances
30 pages, 2 figures, references and discussions added, version accepted by PRD
null
10.1103/PhysRevD.105.033006
null
hep-ph hep-ex hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the quasi-two-body $D\to SP$ decays and the three-body $D$ decays proceeding through intermediate scalar resonances, where $S$ and $P$ denote scalar and pseudoscalar mesons, respectively. Our main results are: (i) Certain external and internal $W$-emission diagrams with the emitted meson being a scalar meson are na{\"i}vely expected to vanish, but they actually receive contributions from vertex and hard spectator-scattering corrections beyond the factorization approximation. (ii) For light scalars with masses below or close to 1~GeV, it is more sensible to study three-body decays directly and compare with experiment as the two-body branching fractions are either unavailable or subject to large finite-width effects of the scalar meson. (iii) We consider the two-quark (scheme I) and four-quark (scheme II) descriptions of the light scalar mesons, and find the latter generally in better agreement with experiment. This is in line with recent BESIII measurements of semileptonic charm decays that prefer the tetraquark description of light scalars produced in charmed meson decays. (iv) The topological amplitude approach fails here as the $D\to SP$ decay branching fractions cannot be reliably inferred from the measurements of three-body decays, mainly because the decay rates cannot be factorized into the topological amplitude squared and the phase space factor. (v) The predicted rates for $D^0\to f_0 P, a_0 P$ are generally smaller than experimental data by one order of magnitude, presumably implying the significance of $W$-exchange amplitudes. (vi) The $W$-annihilation amplitude is found to be very sizable in the $SP$ sector with $|A/T|_{SP}\sim 1/2$, contrary to its suppression in the $PP$ sector with $|A/T|_{PP}\sim 0.18$.
[ { "version": "v1", "created": "Mon, 3 Jan 2022 03:12:35 GMT" }, { "version": "v2", "created": "Fri, 28 Jan 2022 08:09:18 GMT" } ]
2022-03-14T00:00:00
[ [ "Cheng", "Hai-Yang", "" ], [ "Chiang", "Cheng-Wei", "" ], [ "Zhang", "Zhi-Qing", "" ] ]
2407.01889
Itsuki Yamanaka
Itsuki Yamanaka, Bunyo Hatsukade, Fumi Egusa, Tetsuya Hashimoto, Yuu Niino, Tzu-Yin Hsu, Hiroyuki Kaneko and Kotaro Kohno
ALMA reveals spatially-resolved properties of molecular gas in the host galaxy of FRB 20191001A at z = 0.2340
10 pages, 7 figures, 3 tables
null
null
null
astro-ph.GA
http://creativecommons.org/licenses/by/4.0/
We report the detection of the CO(2-1) emission line with a spatial resolution of 0.9 arcsec ($3.5 \mathrm{kpc}$) from the host galaxy of the fast radio burst (FRB), FRB 20191001A at $z=0.2340$, using the Atacama Large Millimeter/submillimeter Array. This is the first detection of spatially resolved CO emission from the host galaxy of an FRB at a cosmological distance. The inferred molecular gas mass of the host galaxy is $(2.3\pm0.4)\times10^{10} \mathrm{M_\odot}$, indicating that it is gas-rich, as evidenced by the measured molecular gas fraction $\mu_\mathrm{gas}=0.50\pm0.22$. This molecular-gas mass and the star formation rate of the host, $\mathrm{SFR}=8.06\pm2.42 \mathrm{M_\odot yr^{-1}}$, differ from those observed in the other FRB host galaxies with the average $M_\mathrm{gas}=9.6\times10^8 \mathrm{M_\odot}$ and $\mathrm{SFR}=0.90 \mathrm{M_\odot yr^{-1}}$. This lends further credibility to the hypothesis that FRBs may originate from single or multiple progenitors across a diverse range of galaxy environments. Based on the observed velocity field modeling, we find that the molecular gas disk is dominated by an ordered circular rotation, despite the fact that the host galaxy has a gas-rich companion galaxy with a projected separation of $\sim 25 \mathrm{kpc}$. The formation of the FRB's progenitor might not have been triggered by this interaction. We derive the 3$\sigma$ upper limit of the molecular gas column density at the FRB detection site to be $< 2.1\times 10^{21} \mathrm{cm^{-2}}$ with a 3$\sigma$ upper limit.
[ { "version": "v1", "created": "Tue, 2 Jul 2024 02:19:34 GMT" } ]
2024-07-03T00:00:00
[ [ "Yamanaka", "Itsuki", "" ], [ "Hatsukade", "Bunyo", "" ], [ "Egusa", "Fumi", "" ], [ "Hashimoto", "Tetsuya", "" ], [ "Niino", "Yuu", "" ], [ "Hsu", "Tzu-Yin", "" ], [ "Kaneko", "Hiroyuki", "" ], [ "Kohno", "Kotaro", "" ] ]
2205.03296
Lixing Zhu
Lixing Zhu and Zheng Fang and Gabriele Pergola and Rob Procter and Yulan He
Disentangled Learning of Stance and Aspect Topics for Vaccine Attitude Detection in Social Media
null
null
null
null
cs.CL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Building models to detect vaccine attitudes on social media is challenging because of the composite, often intricate aspects involved, and the limited availability of annotated data. Existing approaches have relied heavily on supervised training that requires abundant annotations and pre-defined aspect categories. Instead, with the aim of leveraging the large amount of unannotated data now available on vaccination, we propose a novel semi-supervised approach for vaccine attitude detection, called VADet. A variational autoencoding architecture based on language models is employed to learn from unlabelled data the topical information of the domain. Then, the model is fine-tuned with a few manually annotated examples of user attitudes. We validate the effectiveness of VADet on our annotated data and also on an existing vaccination corpus annotated with opinions on vaccines. Our results show that VADet is able to learn disentangled stance and aspect topics, and outperforms existing aspect-based sentiment analysis models on both stance detection and tweet clustering.
[ { "version": "v1", "created": "Fri, 6 May 2022 15:24:33 GMT" }, { "version": "v2", "created": "Mon, 20 Jun 2022 09:32:57 GMT" } ]
2022-06-22T00:00:00
[ [ "Zhu", "Lixing", "" ], [ "Fang", "Zheng", "" ], [ "Pergola", "Gabriele", "" ], [ "Procter", "Rob", "" ], [ "He", "Yulan", "" ] ]
2411.11480
Alja\v{z} Zalar
Rajkamal Nailwal and Alja\v{z} Zalar
The truncated univariate rational moment problem
18 pages
null
null
null
math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a closed subset $K$ in $\mathbb{R}$, the rational $K$-truncated moment problem ($K$-RTMP) asks to characterize the existence of a positive Borel measure $\mu$, supported on $K$, such that a linear functional $\mathcal{L}$, defined on all rational functions of the form $\frac{f}{q}$, where $q$ is a fixed polynomial with all real zeros of even order and $f$ is any real polynomial of degree at most $2k$, is an integration with respect to $\mu$. The case of a compact set $K$ was solved by Chandler in 1994, but there is no argument that ensures that $\mu$ vanishes on all real zeros of $q$. An obvious necessary condition for the solvability of the $K$-RTMP is that $\mathcal{L}$ is nonnegative on every $f$ satisfying $f|_{K}\geq 0$. If $\mathcal{L}$ is strictly positive on every $0\neq f|_{K}\geq 0$, we add the missing argument from Chandler's solution and also bound the number of atoms in a minimal representing measure. We show by an example that nonnegativity of $\mathcal{L}$ is not sufficient and add the missing conditions to the solution. We also solve the $K$-RTMP for unbounded $K$ and derive the solutions to the strong truncated Hamburger moment problem and the truncated moment problem on the unit circle as special cases.
[ { "version": "v1", "created": "Mon, 18 Nov 2024 11:32:39 GMT" } ]
2024-11-19T00:00:00
[ [ "Nailwal", "Rajkamal", "" ], [ "Zalar", "Aljaž", "" ] ]
1303.6632
Miguel Pato
Alejandro Ibarra, Hyun Min Lee, Sergio L\'opez Gehler, Wan-Il Park, Miguel Pato
Gamma-ray boxes from axion-mediated dark matter
16 pages, 5 figures. Error in Section 3 corrected, figures updated, conclusions unchanged
JCAP05(2013)016
10.1088/1475-7516/2013/05/016
null
hep-ph astro-ph.HE hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We compute the gamma-ray output of axion-mediated dark matter and derive the corresponding constraints set by recent data. In such scenarios the dark matter candidate is a Dirac fermion that pair-annihilates into axions and/or scalars. Provided that the axion decays (at least partly) into photons, these models naturally give rise to a box-shaped gamma-ray spectrum that may present two distinct phenomenological behaviours: a narrow box, resembling a line at half the dark matter mass, or a wide box, spanning an extensive energy range up to the dark matter mass. Remarkably, we find that in both cases a sizable gamma-ray flux is predicted for a thermal relic without fine-tuning the model parameters nor invoking boost factors. This large output is in line with recent Fermi-LAT observations towards the Galactic centre region and is on the verge of being excluded. We then make use of the Fermi-LAT and H.E.S.S. data to derive robust, model-independent upper limits on the dark matter annihilation cross section for the narrow and wide box scenarios. H.E.S.S. constraints, in particular, turn out to match the ones from Fermi-LAT at hundreds of GeV and extend to multi-TeV masses. Future Cherenkov telescopes will likely probe gamma-ray boxes from thermal dark matter relics in the whole multi-TeV range, a region hardly accessible to direct detection, collider searches and other indirect detection strategies.
[ { "version": "v1", "created": "Tue, 26 Mar 2013 20:00:01 GMT" }, { "version": "v2", "created": "Wed, 15 May 2013 14:52:10 GMT" }, { "version": "v3", "created": "Fri, 8 Apr 2016 09:35:47 GMT" } ]
2016-04-11T00:00:00
[ [ "Ibarra", "Alejandro", "" ], [ "Lee", "Hyun Min", "" ], [ "Gehler", "Sergio López", "" ], [ "Park", "Wan-Il", "" ], [ "Pato", "Miguel", "" ] ]
2207.08926
Francesco Sala
Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala
Cohomological Hall algebras and their representations via torsion pairs
68 pages
null
null
null
math.AG math.QA math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we provide a way of attaching to a torsion pair $(T,F)$ on the heart of a stable $\infty$-category $C$ a cohomological (K-theoretical, categorified) Hall algebra and corresponding left and right representations. More precisely, the algebra is associated to the torsion part, while the representation is associated to the torsion-free part. The left and right actions enable us to construct canonical subalgebras of the endomorphism ring of the Borel-Moore homology and K-theory of the moduli stack of torsion-free objects, whose "positive parts" recover the cohomological Hall algebra and the K-theoretical Hall algebra associated to the torsion part $T$, respectively. This provides a new direction that might lead to overcome the long-standing limitation of the theory of cohomological Hall algebras to just produce "positive parts" of whole algebras. We also provide a geometric sufficient criterion ensuring the vanishing of the commutator between two different operators. In the quiver case, we obtain the action of the two-dimensional cohomological Hall algebra of a quiver on the cohomology of Nakajima quiver varieties within our framework. Besides the quiver case, we also apply our framework to two torsion pairs on a smooth projective complex surface, and we investigate the corresponding Hall algebras and their representations associated to them. Finally, we slightly modify our method to construct representations of the cohomological Hall algebra of zero-dimensional sheaves on $S$ on the Borel-Moore homology of the moduli spaces of Pandharipande-Thomas stable pairs on surfaces and on relative Hilbert schemes of points (and we obtain similar results at the level of K-theory and bounded derived category).
[ { "version": "v1", "created": "Mon, 18 Jul 2022 20:26:35 GMT" } ]
2022-07-20T00:00:00
[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Porta", "Mauro", "" ], [ "Sala", "Francesco", "" ] ]
1809.09900
John Ilee
David Qu\'enard, John D. Ilee, Izaskun Jim\'enez-Serra, Duncan H. Forgan, Cassandra Hall and Ken Rice
The fate of formamide in a fragmenting protoplanetary disc
10 pages, 5 figures, accepted for publication in ApJ
null
10.3847/1538-4357/aae4dd
null
astro-ph.GA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recent high-sensitivity observations carried out with ALMA have revealed the presence of complex organic molecules (COMs) such as methyl cyanide (CH$_{\rm 3}$CN) and methanol (CH$_{\rm 3}$OH) in relatively evolved protoplanetary discs. The behaviour and abundance of COMs in earlier phases of disc evolution remains unclear. Here we combine a smoothed particle hydrodynamics simulation of a fragmenting, gravitationally unstable disc with a gas-grain chemical code. We use this to investigate the evolution of formamide (NH$_{\rm 2}$CHO), a pre-biotic species, in both the disc and in the fragments that form within it. Our results show that formamide remains frozen onto grains in the majority of the disc where the temperatures are $<$100 K, with a predicted solid-phase abundance that matches those observed in comets. Formamide is present in the gas-phase in three fragments as a result of the high temperatures ($\geq$200\,K), but remains in the solid-phase in one colder ($\leq$150 K) fragment. The timescale over which this occurs is comparable to the dust sedimentation timescales, suggesting that any rocky core which is formed would inherit their formamide content directly from the protosolar nebula.
[ { "version": "v1", "created": "Wed, 26 Sep 2018 10:49:27 GMT" } ]
2018-11-28T00:00:00
[ [ "Quénard", "David", "" ], [ "Ilee", "John D.", "" ], [ "Jiménez-Serra", "Izaskun", "" ], [ "Forgan", "Duncan H.", "" ], [ "Hall", "Cassandra", "" ], [ "Rice", "Ken", "" ] ]
1803.00682
Dayong Tian
Dayong Tian
Learning Decorrelated Hashing Codes for Multimodal Retrieval
null
null
null
null
cs.IR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In social networks, heterogeneous multimedia data correlate to each other, such as videos and their corresponding tags in YouTube and image-text pairs in Facebook. Nearest neighbor retrieval across multiple modalities on large data sets becomes a hot yet challenging problem. Hashing is expected to be an efficient solution, since it represents data as binary codes. As the bit-wise XOR operations can be fast handled, the retrieval time is greatly reduced. Few existing multimodal hashing methods consider the correlation among hashing bits. The correlation has negative impact on hashing codes. When the hashing code length becomes longer, the retrieval performance improvement becomes slower. In this paper, we propose a minimum correlation regularization (MCR) for multimodal hashing. First, the sigmoid function is used to embed the data matrices. Then, the MCR is applied on the output of sigmoid function. As the output of sigmoid function approximates a binary code matrix, the proposed MCR can efficiently decorrelate the hashing codes. Experiments show the superiority of the proposed method becomes greater as the code length increases.
[ { "version": "v1", "created": "Fri, 2 Mar 2018 01:54:35 GMT" }, { "version": "v2", "created": "Wed, 22 May 2019 22:39:04 GMT" } ]
2019-05-24T00:00:00
[ [ "Tian", "Dayong", "" ] ]
2008.10300
Adriaan Hilbers
Adriaan P Hilbers, David J Brayshaw, Axel Gandy
Importance subsampling for power system planning under multi-year demand and weather uncertainty
Runner-up for Roy Billinton Award for best student paper award at 16th International Conference on Probabilistic Methods Applied to Power Systems (PMAPS 2020)
null
null
null
stat.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper introduces a generalised version of importance subsampling for time series reduction/aggregation in optimisation-based power system planning models. Recent studies indicate that reliably determining optimal electricity (investment) strategy under climate variability requires the consideration of multiple years of demand and weather data. However, solving planning models over long simulation lengths is typically computationally unfeasible, and established time series reduction approaches induce significant errors. The importance subsampling method reliably estimates long-term planning model outputs at greatly reduced computational cost, allowing the consideration of multi-decadal samples. The key innovation is a systematic identification and preservation of relevant extreme events in modeling subsamples. Simulation studies on generation and transmission expansion planning models illustrate the method's enhanced performance over established "representative days" clustering approaches. The models, data and sample code are made available as open-source software.
[ { "version": "v1", "created": "Mon, 24 Aug 2020 10:14:54 GMT" }, { "version": "v2", "created": "Tue, 25 Aug 2020 13:21:51 GMT" } ]
2020-08-26T00:00:00
[ [ "Hilbers", "Adriaan P", "" ], [ "Brayshaw", "David J", "" ], [ "Gandy", "Axel", "" ] ]
2410.16665
Jing-Jing Li
Jing-Jing Li, Valentina Pyatkin, Max Kleiman-Weiner, Liwei Jiang, Nouha Dziri, Anne G. E. Collins, Jana Schaich Borg, Maarten Sap, Yejin Choi, Sydney Levine
SafetyAnalyst: Interpretable, transparent, and steerable safety moderation for AI behavior
null
null
null
null
cs.CL cs.CY
http://creativecommons.org/licenses/by/4.0/
The ideal AI safety moderation system would be both structurally interpretable (so its decisions can be reliably explained) and steerable (to align to safety standards and reflect a community's values), which current systems fall short on. To address this gap, we present SafetyAnalyst, a novel AI safety moderation framework. Given an AI behavior, SafetyAnalyst uses chain-of-thought reasoning to analyze its potential consequences by creating a structured "harm-benefit tree," which enumerates harmful and beneficial actions and effects the AI behavior may lead to, along with likelihood, severity, and immediacy labels that describe potential impact on any stakeholders. SafetyAnalyst then aggregates all harmful and beneficial effects into a harmfulness score using fully interpretable weight parameters, which can be aligned to particular safety preferences. We applied this conceptual framework to develop, test, and release an open-source LLM prompt safety classification system, distilled from 18.5 million harm-benefit features generated by frontier LLMs on 19k prompts. On a comprehensive set of prompt safety benchmarks, we show that SafetyReporter (average F1=0.81) outperforms existing LLM safety moderation systems (average F1$<$0.72) on prompt safety classification, while offering the additional advantages of interpretability, transparency, and steerability.
[ { "version": "v1", "created": "Tue, 22 Oct 2024 03:38:37 GMT" }, { "version": "v2", "created": "Fri, 31 Jan 2025 18:01:12 GMT" } ]
2025-02-03T00:00:00
[ [ "Li", "Jing-Jing", "" ], [ "Pyatkin", "Valentina", "" ], [ "Kleiman-Weiner", "Max", "" ], [ "Jiang", "Liwei", "" ], [ "Dziri", "Nouha", "" ], [ "Collins", "Anne G. E.", "" ], [ "Borg", "Jana Schaich", "" ], [ "Sap", "Maarten", "" ], [ "Choi", "Yejin", "" ], [ "Levine", "Sydney", "" ] ]
2002.05468
Thomas Gobet
Thomas Gobet, Anthony Henderson, Ivan Marin
Braid groups of normalizers of reflection subgroups
22 pages. To appear in Annales de l'Institut Fourier
null
null
null
math.RT math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $W_0$ be a reflection subgroup of a finite complex reflection group $W$, and let $B_0$ and $B$ be their respective braid groups. In order to construct a Hecke algebra $\widetilde{H}_0$ for the normalizer $N_W(W_0)$, one first considers a natural subquotient $\widetilde{B}_0$ of $B$ which is an extension of $N_W(W_0)/W_0$ by $B_0$. We prove that this extension is split when $W$ is a Coxeter group, and deduce a standard basis for the Hecke algebra $\widetilde{H}_0$. We also give classes of both split and non-split examples in the non-Coxeter case.
[ { "version": "v1", "created": "Thu, 13 Feb 2020 12:16:05 GMT" }, { "version": "v2", "created": "Tue, 24 Nov 2020 16:33:41 GMT" } ]
2020-11-25T00:00:00
[ [ "Gobet", "Thomas", "" ], [ "Henderson", "Anthony", "" ], [ "Marin", "Ivan", "" ] ]
1012.4344
Harold Steinacker
Daniel N. Blaschke, Harold Steinacker, Michael Wohlgenannt
Heat kernel expansion and induced action for the matrix model Dirac operator
44 pages
JHEP 1103:002,2011
10.1007/JHEP03(2011)002
UWThPh-2010-14
hep-th gr-qc math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff. The resulting action is recast into the form of generalized matrix models, manifestly preserving the SO(D) symmetry of the bare action. This provides noncommutative (NC) analogs of the Seeley-de Witt coefficients for the emergent gravity which arises on NC branes, such as curvature terms. From the gauge theory point of view, this provides strong evidence that the NC N=4 SYM has a hidden SO(10) symmetry even at the quantum level, which is spontaneously broken by the space-time background. The geometrical view proves to be very powerful, and allows to predict non-trivial loop computations in the gauge theory.
[ { "version": "v1", "created": "Mon, 20 Dec 2010 14:28:19 GMT" } ]
2011-03-18T00:00:00
[ [ "Blaschke", "Daniel N.", "" ], [ "Steinacker", "Harold", "" ], [ "Wohlgenannt", "Michael", "" ] ]
astro-ph/0401312
Yoel Rephaeli
Yoel Rephaeli and Duane Gruber
Spectral Analysis of RXTE Observations of A3667
7 pages, 1 figure; ApJ, in press
Astrophys.J. 606 (2004) 825-828
10.1086/383123
null
astro-ph
null
X-ray emission from the cluster of galaxies A3667 was measured by the PCA and HEXTE experiments aboard the RXTE satellite during the period December 2001 - July 2002. Analysis of the ~141 ks RXTE observation and lower energy ASCA/GIS data, yields only marginalevidence for a secondary power-law emission component in the spectrum. The 90% confidence upper limit on nonthermal emission in the 15-35 keV band is determined to be 2.6x10^{-12} erg/(cm^{2}s). When combined with the measured radio flux and spectral index of the dominant region of extended radio emission, this upper limit implies a lower limit of ~0.4 microgauss on the mean, volume-averaged intracluster magnetic field in A3667.
[ { "version": "v1", "created": "Thu, 15 Jan 2004 19:32:16 GMT" } ]
2009-11-10T00:00:00
[ [ "Rephaeli", "Yoel", "" ], [ "Gruber", "Duane", "" ] ]
hep-ph/0004205
Manuel Drees
Abdelhak Djouadi (Univ. de Montpellier) and Manuel Drees (TU Munich)
QCD Corrections to Neutralino-Nucleon Scattering
LaTeX with equation.sty, 12 pages, 2 PS-figures
Phys.Lett. B484 (2000) 183-191
10.1016/S0370-2693(00)00661-4
PM/00-14, TUM-HEP-370-00
hep-ph astro-ph
null
We calculate the dominant loop corrections from both standard and supersymmetric QCD to the effective coupling of neutralinos to nucleons. The potentially largest corrections come from gluino-squark loop contributions to the Higgs boson couplings to quarks; these corrections also affect the leading spin-independent squark exchange contribution. Ordinary QCD corrections to the effective coupling of CP-even Higgs bosons to two gluons are also sizable. For large $\tanb$ values, i.e. in the region of parameter space probed by current and near-future direct Dark-Matter search experiments, the total corrections can exceed a factor of three.
[ { "version": "v1", "created": "Fri, 21 Apr 2000 15:29:06 GMT" } ]
2009-10-31T00:00:00
[ [ "Djouadi", "Abdelhak", "", "Univ. de Montpellier" ], [ "Drees", "Manuel", "", "TU Munich" ] ]
2206.11331
Wolfgang Altmannshofer
Wolfgang Altmannshofer, Flavio Archilli
Rare decays of b and c hadrons
38 pages, 1 figure, 3 tables; contribution to Snowmass 2021; solicited whitepaper for RF1; v2: discussion of di-neutrino decays added; references added
null
null
null
hep-ph hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this white paper for the Snowmass process, we review the status and prospects of the field of rare decays of b and c hadrons. The role that rare decays play in the search for physics beyond the Standard Model is emphasised. We stress the complementarity of a large set of relevant processes and outline the most promising directions. The experimental opportunities at Belle II, BES III, ATLAS, CMS, LHCb, and at future machines are discussed. We also summarize the challenges that need to be addressed on the theory side to achieve theory uncertainties for rare decays that match the expected experimental sensitivities.
[ { "version": "v1", "created": "Wed, 22 Jun 2022 19:15:16 GMT" }, { "version": "v2", "created": "Sun, 10 Jul 2022 22:00:53 GMT" } ]
2022-07-12T00:00:00
[ [ "Altmannshofer", "Wolfgang", "" ], [ "Archilli", "Flavio", "" ] ]
1903.10764
Amir Atapour Abarghouei
Amir Atapour-Abarghouei and Toby P. Breckon
Veritatem Dies Aperit- Temporally Consistent Depth Prediction Enabled by a Multi-Task Geometric and Semantic Scene Understanding Approach
CVPR 2019
null
null
null
cs.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Robust geometric and semantic scene understanding is ever more important in many real-world applications such as autonomous driving and robotic navigation. In this paper, we propose a multi-task learning-based approach capable of jointly performing geometric and semantic scene understanding, namely depth prediction (monocular depth estimation and depth completion) and semantic scene segmentation. Within a single temporally constrained recurrent network, our approach uniquely takes advantage of a complex series of skip connections, adversarial training and the temporal constraint of sequential frame recurrence to produce consistent depth and semantic class labels simultaneously. Extensive experimental evaluation demonstrates the efficacy of our approach compared to other contemporary state-of-the-art techniques.
[ { "version": "v1", "created": "Tue, 26 Mar 2019 09:59:46 GMT" }, { "version": "v2", "created": "Fri, 19 Jul 2019 09:28:14 GMT" } ]
2019-07-22T00:00:00
[ [ "Atapour-Abarghouei", "Amir", "" ], [ "Breckon", "Toby P.", "" ] ]
2208.06448
Rafael Rodriguez Sanchez
Rafael Rodriguez-Sanchez, Benjamin A. Spiegel, Jennifer Wang, Roma Patel, Stefanie Tellex and George Konidaris
RLang: A Declarative Language for Describing Partial World Knowledge to Reinforcement Learning Agents
null
null
null
null
cs.AI cs.LG
http://creativecommons.org/licenses/by/4.0/
We introduce RLang, a domain-specific language (DSL) for communicating domain knowledge to an RL agent. Unlike existing RL DSLs that ground to \textit{single} elements of a decision-making formalism (e.g., the reward function or policy), RLang can specify information about every element of a Markov decision process. We define precise syntax and grounding semantics for RLang, and provide a parser that grounds RLang programs to an algorithm-agnostic \textit{partial} world model and policy that can be exploited by an RL agent. We provide a series of example RLang programs demonstrating how different RL methods can exploit the resulting knowledge, encompassing model-free and model-based tabular algorithms, policy gradient and value-based methods, hierarchical approaches, and deep methods.
[ { "version": "v1", "created": "Fri, 12 Aug 2022 18:20:47 GMT" }, { "version": "v2", "created": "Tue, 16 Aug 2022 22:13:44 GMT" }, { "version": "v3", "created": "Tue, 30 May 2023 15:07:56 GMT" } ]
2023-05-31T00:00:00
[ [ "Rodriguez-Sanchez", "Rafael", "" ], [ "Spiegel", "Benjamin A.", "" ], [ "Wang", "Jennifer", "" ], [ "Patel", "Roma", "" ], [ "Tellex", "Stefanie", "" ], [ "Konidaris", "George", "" ] ]
2412.05314
Urvashi Joshi
Urvashi Joshi, Aniruddha Kumar Sharma, Rajan Arora
Invariance Analysis, Symmetry Reduction and Conservation Laws for Biological Population in Porous Media
null
null
null
null
math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This research paper talks about using complex mathematical tools to study and figure out the behavior of biological populations in porous media. Porous media offer a unique environment where various factors, including fluid flow and nutrient diffusion, significantly influence population dynamics. The theory of Lie symmetries is used to find inherent symmetries in the governing equation of the population model, helping to find conservation laws and invariant solutions. The derivation and analysis of the optimal system provide insights into the most influential parameters affecting population growth and distribution. Furthermore, the study explores the construction of invariant solutions, which aid in characterizing long-term population behavior. The article concludes with the non-linear self-adjointness property and conservation laws for the model.
[ { "version": "v1", "created": "Fri, 29 Nov 2024 17:16:22 GMT" } ]
2024-12-10T00:00:00
[ [ "Joshi", "Urvashi", "" ], [ "Sharma", "Aniruddha Kumar", "" ], [ "Arora", "Rajan", "" ] ]
nucl-th/9905028
Joern Knoll
Yu. B. Ivanov, J. Knoll and D. N. Voskresensky
Resonance Transport and Kinetic Entropy
50 pages, submitted to Nucl. Phys. A
Nucl.Phys.A672:313-356,2000
10.1016/S0375-9474(99)00559-X
null
nucl-th astro-ph cond-mat.stat-mech hep-ph
null
Within the real-time formulation of nonequilibrium field theory, generalized transport equations are derived avoiding the standard quasiparticle approximation. They permit to include unstable particles into the transport scheme. In order to achieve a self-consistent, conserving and thermodynamically consistent description, we generalize the Baym's $\Phi$-functional method to genuine nonequilibrium processes. The developed transport description naturally includes all those quantum features already inherent in the corresponding equilibrium limit. Memory effects appearing in collision term diagrams of higher order are discussed. The variational properties of $\Phi$-functional permit to derive a generalized expression for the non-equilibrium kinetic entropy flow, which includes fluctuations and mass width effects. In special cases an $H$-theorem is demonstrated implying that the entropy can only increase with time. Memory effects in the kinetic terms provide corrections to the kinetic entropy flow that in equilibrium limit recover the famous bosonic type $T^3 \ln T$ correction to the specific heat of Fermi liquids like Helium-3.
[ { "version": "v1", "created": "Fri, 14 May 1999 13:25:56 GMT" } ]
2011-07-19T00:00:00
[ [ "Ivanov", "Yu. B.", "" ], [ "Knoll", "J.", "" ], [ "Voskresensky", "D. N.", "" ] ]
1007.0977
David Bohlender
David A. Bohlender, J.B. Rice, and P. Hechler
Doppler imaging of the helium-variable star a Cen
9 pages, 9 figures
null
10.1051/0004-6361/201014157
null
astro-ph.SR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The helium-peculiar star a Cen exhibits line profile variations of elements such as iron, nitrogen and oxygen in addition to its well-known extreme helium variability. New high S/N, high-resolution spectra are used to perform a quantitative measurement of the abundances of the star and determine the relation of the concentrations of the heavier elements on the surface of the star to the helium concentration and the magnetic field orientation. Doppler images have been created using programs described in earlier papers by Rice and others. An alternative surface abundance mapping code has been used to model the helium line variations after our Doppler imaging of certain individual helium lines produced mediocre results. We confirm the long-known existence of helium-rich and helium-poor hemispheres on a Cen and we measure a difference of more than two orders of magnitude in helium abundance from one side of the star to the other. Helium is overabundant by a factor of about 5 over much of the helium-rich hemisphere. Of particular note is our discovery that the helium-poor hemisphere has a very high abundance of helium-3, approximately equal to the helium-4 abundance. a Cen is therefore a new member of the small group of helium-3 stars and the first well-established magnetic member of the class. For the three metals investigated here, there are two strong concentrations of abundance near the equator consistent with the positive magnetic maximum and two somewhat weaker concentrations of abundance where the helium concentration is centered and roughly where the negative peak of the magnetic field would be found. Another strong concentration is found near the equator and this is not explainable in terms of any simple symmetry with the helium abundance or the apparent magnetic field main polar locations.
[ { "version": "v1", "created": "Tue, 6 Jul 2010 18:40:12 GMT" } ]
2015-05-19T00:00:00
[ [ "Bohlender", "David A.", "" ], [ "Rice", "J. B.", "" ], [ "Hechler", "P.", "" ] ]
2211.04573
Ozdemir Can Kara
Nethra Venkatayogi, Ozdemir Can Kara, Jeff Bonyun, Naruhiko Ikoma, and Farshid Alambeigi
Classification of Colorectal Cancer Polyps via Transfer Learning and Vision-Based Tactile Sensing
Accepted to IEEE Sensors 2022 Conference
null
null
null
eess.IV cs.CV cs.RO
http://creativecommons.org/licenses/by-nc-nd/4.0/
In this study, to address the current high earlydetection miss rate of colorectal cancer (CRC) polyps, we explore the potentials of utilizing transfer learning and machine learning (ML) classifiers to precisely and sensitively classify the type of CRC polyps. Instead of using the common colonoscopic images, we applied three different ML algorithms on the 3D textural image outputs of a unique vision-based surface tactile sensor (VS-TS). To collect realistic textural images of CRC polyps for training the utilized ML classifiers and evaluating their performance, we first designed and additively manufactured 48 types of realistic polyp phantoms with different hardness, type, and textures. Next, the performance of the used three ML algorithms in classifying the type of fabricated polyps was quantitatively evaluated using various statistical metrics.
[ { "version": "v1", "created": "Tue, 8 Nov 2022 21:47:36 GMT" } ]
2022-11-10T00:00:00
[ [ "Venkatayogi", "Nethra", "" ], [ "Kara", "Ozdemir Can", "" ], [ "Bonyun", "Jeff", "" ], [ "Ikoma", "Naruhiko", "" ], [ "Alambeigi", "Farshid", "" ] ]
2203.15113
Mykhaylo Shkolnikov
Sergey Nadtochiy, Mykhaylo Shkolnikov
Stefan problem with surface tension: global existence of physical solutions under radial symmetry
30 pages, 1 figure
null
null
null
math.PR math-ph math.AP math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the Stefan problem with surface tension, also known as the Stefan-Gibbs-Thomson problem, in an ambient space of arbitrary dimension. Assuming the radial symmetry of the initial data we introduce a novel "probabilistic" notion of solution, which can accommodate the discontinuities in time (of the radius) of the evolving aggregate. Our main result establishes the global existence of a probabilistic solution satisfying the natural upper bound on the sizes of the discontinuities. Moreover, we prove that the upper bound is sharp in dimensions d>2, in the sense that none of the discontinuities in the solution can be decreased in magnitude. The detailed analysis of the discontinuities, via appropriate stochastic representations, differentiates this work from the previous literature on weak solutions to the Stefan problem with surface tension.
[ { "version": "v1", "created": "Mon, 28 Mar 2022 21:41:29 GMT" } ]
2022-03-30T00:00:00
[ [ "Nadtochiy", "Sergey", "" ], [ "Shkolnikov", "Mykhaylo", "" ] ]
1712.08669
Mimoza Zografi
Mimoza Zografi and Evdokia Xekalaki
Modeling Spatial Overdispersion with the Generalized Waring Process
null
null
null
null
math.PR math.ST stat.ME stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Modeling spatial overdispersion requires point processes models with finite dimensional distributions that are overdisperse relative to the Poisson. Fitting such models usually heavily relies on the properties of stationarity, ergodicity, and orderliness. And, though processes based on negative binomial finite dimensional distributions have been widely considered, they typically fail to simultaneously satisfy the three required properties for fitting. Indeed, it has been conjectured by Diggle and Milne that no negative binomial model can satisfy all three properties. In light of this, we change perspective, and construct a new process based on a different overdisperse count model, the Generalized Waring Distribution. While comparably tractable and flexible to negative binomial processes, the Generalized Waring process is shown to possess all required properties, and additionally span the negative binomial and Poisson processes as limiting cases. In this sense, the GW process provides an approximate resolution to the conundrum highlighted by Diggle and Milne.
[ { "version": "v1", "created": "Fri, 22 Dec 2017 22:00:27 GMT" } ]
2018-01-12T00:00:00
[ [ "Zografi", "Mimoza", "" ], [ "Xekalaki", "Evdokia", "" ] ]
hep-ph/9711296
Liu Chun
Chun Liu
1/N_c Expansion of the Heavy Baryon Isgur-Wise Functions
7 pages, latex, no figures, to appear in Phys. Rev. D
Phys.Rev. D57 (1998) 1991-1992
10.1103/PhysRevD.57.1991
SNUTP 97-034
hep-ph
null
The 1/N_c expansion of the heavy baryon Isgur-Wise functions is discussed. Because of the contracted SU(2N_f) light quark spin-flavor symmetry, the universality relations among the Isgur-Wise functions of \Lambda_b to \Lambda_c and \Sigma_b^{(*)} to \Sigma_c^{(*)} are valid up to the order of 1/N_c^2.
[ { "version": "v1", "created": "Wed, 12 Nov 1997 06:46:17 GMT" } ]
2009-10-30T00:00:00
[ [ "Liu", "Chun", "" ] ]
1007.4322
Jin-Li Guo
Jin-Li Guo
Relationship between exponent of power-law distributions and exponent of cumulative distributions
6 pages; 1 figures
null
null
null
physics.gen-ph
http://creativecommons.org/licenses/by/3.0/
We commented on Ref.[Andrade J S, Herrmann H J, Andrade R F S, et al. Phys. Rev. Lett. 94, 018702 (2005)] and corrected the approach to estimate the degree distribution of the Apollonian network. However, after reading our manuscript, Herrmann indicated that it was due to a small typographic error and Herrmann et al. published Ref. [Andrade J S, Herrmann H J, Andrade R F S, et al. Phys. Rev. Lett. 102, 079901 (2009)]. In this paper, the relationship between an exponent of power-law distributions and the exponent of cumulative distributions is studied. For power-law distribution with geometrically growing domain, we prove that its exponent is equal to the exponent of its cumulative distribution. We carried out numerical simulations and obtain results that are in good agreement with the theoretical analysis.
[ { "version": "v1", "created": "Sun, 25 Jul 2010 13:49:38 GMT" }, { "version": "v2", "created": "Thu, 29 Jul 2010 05:37:26 GMT" }, { "version": "v3", "created": "Wed, 25 Aug 2010 16:10:51 GMT" } ]
2010-08-26T00:00:00
[ [ "Guo", "Jin-Li", "" ] ]
2004.08163
Yanting Fan
LHCb collaboration: R. Aaij, C. Abell\'an Beteta, T. Ackernley, B. Adeva, M. Adinolfi, H. Afsharnia, C.A. Aidala, S. Aiola, Z. Ajaltouni, S. Akar, J. Albrecht, F. Alessio, M. Alexander, A. Alfonso Albero, G. Alkhazov, P. Alvarez Cartelle, A.A. Alves Jr, S. Amato, Y. Amhis, L. An, L. Anderlini, G. Andreassi, M. Andreotti, F. Archilli, A. Artamonov, M. Artuso, K. Arzymatov, E. Aslanides, M. Atzeni, B. Audurier, S. Bachmann, J.J. Back, S. Baker, V. Balagura, W. Baldini, J. Baptista Leite, R.J. Barlow, S. Barsuk, W. Barter, M. Bartolini, F. Baryshnikov, J.M. Basels, G. Bassi, V. Batozskaya, B. Batsukh, A. Battig, A. Bay, M. Becker, F. Bedeschi, I. Bediaga, A. Beiter, V. Belavin, S. Belin, V. Bellee, K. Belous, I. Belyaev, G. Bencivenni, E. Ben-Haim, S. Benson, A. Berezhnoy, R. Bernet, D. Berninghoff, H.C. Bernstein, C. Bertella, E. Bertholet, A. Bertolin, C. Betancourt, F. Betti, M.O. Bettler, Ia. Bezshyiko, S. Bhasin, J. Bhom, M.S. Bieker, S. Bifani, P. Billoir, A. Bizzeti, M. Bj{\o}rn, M.P. Blago, T. Blake, F. Blanc, S. Blusk, D. Bobulska, V. Bocci, O. Boente Garcia, T. Boettcher, A. Boldyrev, A. Bondar, N. Bondar, S. Borghi, M. Borisyak, M. Borsato, J.T. Borsuk, T.J.V. Bowcock, A. Boyer, C. Bozzi, M.J. Bradley, S. Braun, A. Brea Rodriguez, M. Brodski, J. Brodzicka, A. Brossa Gonzalo, D. Brundu, E. Buchanan, A. B\"uchler-Germann, A. Buonaura, C. Burr, A. Bursche, A. Butkevich, J.S. Butter, J. Buytaert, W. Byczynski, S. Cadeddu, H. Cai, R. Calabrese, L. Calero Diaz, S. Cali, R. Calladine, M. Calvi, M. Calvo Gomez, P. Camargo Magalhaes, A. Camboni, P. Campana, D.H. Campora Perez, A.F. Campoverde Quezada, L. Capriotti, A. Carbone, G. Carboni, R. Cardinale, A. Cardini, I. Carli, P. Carniti, K. Carvalho Akiba, A. Casais Vidal, G. Casse, M. Cattaneo, G. Cavallero, S. Celani, R. Cenci, J. Cerasoli, M.G. Chapman, M. Charles, Ph. Charpentier, G. Chatzikonstantinidis, M. Chefdeville, V. Chekalina, C. Chen, S. Chen, A. Chernov, S.-G. Chitic, V. Chobanova, S. Cholak, M. Chrzaszcz, A. Chubykin, V. Chulikov, P. Ciambrone, M.F. Cicala, X. Cid Vidal, G. Ciezarek, F. Cindolo, P.E.L. Clarke, M. Clemencic, H.V. Cliff, J. Closier, J.L. Cobbledick, V. Coco, J.A.B. Coelho, J. Cogan, E. Cogneras, L. Cojocariu, P. Collins, T. Colombo, A. Contu, N. Cooke, G. Coombs, S. Coquereau, G. Corti, C.M. Costa Sobral, B. Couturier, D.C. Craik, J. Crkovsk\'a, A. Crocombe, M. Cruz Torres, R. Currie, C.L. Da Silva, E. Dall'Occo, J. Dalseno, C. D'Ambrosio, A. Danilina, P. d'Argent, A. Davis, O. De Aguiar Francisco, K. De Bruyn, S. De Capua, M. De Cian, J.M. De Miranda, L. De Paula, M. De Serio, P. De Simone, J.A. de Vries, C.T. Dean, W. Dean, D. Decamp, L. Del Buono, B. Delaney, H.-P. Dembinski, A. Dendek, V. Denysenko, D. Derkach, O. Deschamps, F. Desse, F. Dettori, B. Dey, A. Di Canto, P. Di Nezza, S. Didenko, H. Dijkstra, V. Dobishuk, F. Dordei, M. Dorigo, A.C. dos Reis, L. Douglas, A. Dovbnya, K. Dreimanis, M.W. Dudek, L. Dufour, P. Durante, J.M. Durham, D. 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Precision measurement of the $B_{c}^{+}$ meson mass
All figures and tables, along with machine-readable versions and any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-003.html
JHEP 07(2020) 123
10.1007/JHEP07(2020)123
LHCb-PAPER-2020-003, CERN-EP-2020-048
hep-ex
http://creativecommons.org/licenses/by/4.0/
A precision measurement of the $B_{c}^{+}$ meson mass is performed using proton-proton collision data collected with the LHCb experiment at centre-of-mass energies of $7, 8$ and $13$ TeV, corresponding to a total integrated luminosity of $9.0 \,{\rm fb}^{-1}$. The $B_{c}^{+}$ mesons are reconstructed via the decays $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^- \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu p \bar{p} \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu D_{s}^{+}$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu D^{0} K^{+}$ and $B_{c}^{+} \rightarrow B_{s}^{0} \pi^{+}$. Combining the results of the individual decay channels, the $B_{c}^{+}$ mass is measured to be $6274.47 \pm 0.27 \,({\rm stat}) \pm 0.17 \,({\rm syst}) \mathrm{\,Me\kern -0.1em V}/c^{2}$. This is the most precise measurement of the $B_{c}^{+}$ mass to date. The difference between the $B_{c}^{+}$ and $B_{s}^{0}$ meson masses is measured to be $907.75 \pm 0.37 \,({\rm stat}) \pm 0.27 \,({\rm syst}) \mathrm{\,Me\kern -0.1em V}/c^{2}$.
[ { "version": "v1", "created": "Fri, 17 Apr 2020 10:46:45 GMT" }, { "version": "v2", "created": "Tue, 21 Jul 2020 13:26:54 GMT" } ]
2020-07-22T00:00:00
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Torres", "" ], [ "Tou", "D. Y.", "" ], [ "Tournefier", "E.", "" ], [ "Traill", "M.", "" ], [ "Tran", "M. T.", "" ], [ "Trifonova", "E.", "" ], [ "Trippl", "C.", "" ], [ "Tsaregorodtsev", "A.", "" ], [ "Tuci", "G.", "" ], [ "Tully", "A.", "" ], [ "Tuning", "N.", "" ], [ "Ukleja", "A.", "" ], [ "Usachov", "A.", "" ], [ "Ustyuzhanin", "A.", "" ], [ "Uwer", "U.", "" ], [ "Vagner", "A.", "" ], [ "Vagnoni", "V.", "" ], [ "Valassi", "A.", "" ], [ "Valenti", "G.", "" ], [ "van Beuzekom", "M.", "" ], [ "Van Hecke", "H.", "" ], [ "van Herwijnen", "E.", "" ], [ "Van Hulse", "C. B.", "" ], [ "van Veghel", "M.", "" ], [ "Gomez", "R. Vazquez", "" ], [ "Regueiro", "P. Vazquez", "" ], [ "Sierra", "C. Vázquez", "" ], [ "Vecchi", "S.", "" ], [ "Velthuis", "J. J.", "" ], [ "Veltri", "M.", "" ], [ "Venkateswaran", "A.", "" ], [ "Veronesi", "M.", "" ], [ "Vesterinen", "M.", "" ], [ "Barbosa", "J. V. Viana", "" ], [ "Vieira", "D.", "" ], [ "Diaz", "M. Vieites", "" ], [ "Viemann", "H.", "" ], [ "Vilasis-Cardona", "X.", "" ], [ "Vitali", "G.", "" ], [ "Vitkovskiy", "A.", "" ], [ "Vollhardt", "A.", "" ], [ "Bruch", "D. Vom", "" ], [ "Vorobyev", "A.", "" ], [ "Vorobyev", "V.", "" ], [ "Voropaev", "N.", "" ], [ "Waldi", "R.", "" ], [ "Walsh", "J.", "" ], [ "Wang", "J.", "" ], [ "Wang", "J.", "" ], [ "Wang", "J.", "" ], [ "Wang", "M.", "" ], [ "Wang", "Y.", "" ], [ "Wang", "Z.", "" ], [ "Ward", "D. R.", "" ], [ "Wark", "H. M.", "" ], [ "Watson", "N. K.", "" ], [ "Websdale", "D.", "" ], [ "Weiden", "A.", "" ], [ "Weisser", "C.", "" ], [ "Westhenry", "B. D. C.", "" ], [ "White", "D. J.", "" ], [ "Whitehead", "M.", "" ], [ "Wiedner", "D.", "" ], [ "Wilkinson", "G.", "" ], [ "Wilkinson", "M.", "" ], [ "Williams", "I.", "" ], [ "Williams", "M.", "" ], [ "Williams", "M. R. J.", "" ], [ "Williams", "T.", "" ], [ "Wilson", "F. F.", "" ], [ "Wislicki", "W.", "" ], [ "Witek", "M.", "" ], [ "Witola", "L.", "" ], [ "Wormser", "G.", "" ], [ "Wotton", "S. A.", "" ], [ "Wu", "H.", "" ], [ "Wyllie", "K.", "" ], [ "Xiang", "Z.", "" ], [ "Xiao", "D.", "" ], [ "Xie", "Y.", "" ], [ "Xing", "H.", "" ], [ "Xu", "A.", "" ], [ "Xu", "J.", "" ], [ "Xu", "L.", "" ], [ "Xu", "M.", "" ], [ "Xu", "Q.", "" ], [ "Xu", "Z.", "" ], [ "Yang", "Z.", "" ], [ "Yang", "Z.", "" ], [ "Yao", "Y.", "" ], [ "Yeomans", "L. E.", "" ], [ "Yin", "H.", "" ], [ "Yu", "J.", "" ], [ "Yuan", "X.", "" ], [ "Yushchenko", "O.", "" ], [ "Zarebski", "K. A.", "" ], [ "Zavertyaev", "M.", "" ], [ "Zdybal", "M.", "" ], [ "Zeng", "M.", "" ], [ "Zhang", "D.", "" ], [ "Zhang", "L.", "" ], [ "Zhang", "S.", "" ], [ "Zhang", "W. C.", "" ], [ "Zhang", "Y.", "" ], [ "Zhelezov", "A.", "" ], [ "Zheng", "Y.", "" ], [ "Zhou", "X.", "" ], [ "Zhou", "Y.", "" ], [ "Zhu", "X.", "" ], [ "Zhukov", "V.", "" ], [ "Zonneveld", "J. B.", "" ], [ "Zuccheri", "S.", "" ] ]
2208.13003
Yamin Arefeen
Yamin Arefeen, Junshen Xu, Molin Zhang, Zijing Dong, Fuyixue Wang, Jacob White, Berkin Bilgic, Elfar Adalsteinsson
Latent Signal Models: Learning Compact Representations of Signal Evolution for Improved Time-Resolved, Multi-contrast MRI
null
null
10.1002/mrm.29657
null
eess.SP physics.med-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Purpose: Training auto-encoders on simulated signal evolution and inserting the decoder into the forward model improves reconstructions through more compact, Bloch-equation-based representations of signal in comparison to linear subspaces. Methods: Building on model-based nonlinear and linear subspace techniques that enable reconstruction of signal dynamics, we train auto-encoders on dictionaries of simulated signal evolution to learn more compact, non-linear, latent representations. The proposed Latent Signal Model framework inserts the decoder portion of the auto-encoder into the forward model and directly reconstructs the latent representation. Latent Signal Models essentially serve as a proxy for fast and feasible differentiation through the Bloch-equations used to simulate signal. This work performs experiments in the context of T2-shuffling, gradient echo EPTI, and MPRAGE-shuffling. We compare how efficiently auto-encoders represent signal evolution in comparison to linear subspaces. Simulation and in-vivo experiments then evaluate if reducing degrees of freedom by inserting the decoder into the forward model improves reconstructions in comparison to subspace constraints. Results: An auto-encoder with one real latent variable represents FSE, EPTI, and MPRAGE signal evolution as well as linear subspaces characterized by four basis vectors. In simulated/in-vivo T2-shuffling and in-vivo EPTI experiments, the proposed framework achieves consistent quantitative NRMSE and qualitative improvement over linear approaches. From qualitative evaluation, the proposed approach yields images with reduced blurring and noise amplification in MPRAGE shuffling experiments. Conclusion: Directly solving for non-linear latent representations of signal evolution improves time-resolved MRI reconstructions through reduced degrees of freedom.
[ { "version": "v1", "created": "Sat, 27 Aug 2022 13:05:56 GMT" } ]
2023-05-02T00:00:00
[ [ "Arefeen", "Yamin", "" ], [ "Xu", "Junshen", "" ], [ "Zhang", "Molin", "" ], [ "Dong", "Zijing", "" ], [ "Wang", "Fuyixue", "" ], [ "White", "Jacob", "" ], [ "Bilgic", "Berkin", "" ], [ "Adalsteinsson", "Elfar", "" ] ]
2108.06346
Zi Hong Liu
Zi Hong Liu, Matthias Vojta, Fakher F. Assaad, Lukas Janssen
Metallic and Deconfined Quantum Criticality in Dirac Systems
12 pages, 11 figures
Phys. Rev. Lett. 128, 087201 (2022)
10.1103/PhysRevLett.128.087201
null
cond-mat.str-el hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field quantum Monte Carlo (QMC) simulations, we locate two zero-temperature phase transitions as function of increasing interaction strength. First, we observe a continuous transition from the weakly-interacting semimetal to a different semimetallic phase in which the SO(3) symmetry is spontaneously broken and where two out of three Dirac cones acquire a mass gap. The associated quantum critical point can be understood in terms of a Gross-Neveu-SO(3) theory. Second, we subsequently observe a transition towards an insulating phase in which the SO(3) symmetry is restored and the U(1) symmetry is spontaneously broken. While strongly first order at the mean-field level, the QMC data is consistent with a direct and continuous transition. It is thus a candidate for a new type of deconfined quantum critical point that features gapless fermionic degrees of freedom.
[ { "version": "v1", "created": "Fri, 13 Aug 2021 18:00:05 GMT" }, { "version": "v2", "created": "Thu, 24 Feb 2022 12:38:57 GMT" } ]
2022-02-25T00:00:00
[ [ "Liu", "Zi Hong", "" ], [ "Vojta", "Matthias", "" ], [ "Assaad", "Fakher F.", "" ], [ "Janssen", "Lukas", "" ] ]
1101.3837
Abuzer Yakaryilmaz
Andris Ambainis and Abuzer Yakaryilmaz
Superiority of exact quantum automata for promise problems
A completely new version. 6 pages. (The previous version contains some errata.)
Information Processing Letters, Volume 112, Issue 7, 31 March 2012, Pages 289-291
10.1016/j.ipl.2012.01.001
null
cs.CC cs.FL quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this note, we present an infinite family of promise problems which can be solved exactly by just tuning transition amplitudes of a two-state quantum finite automata operating in realtime mode, whereas the size of the corresponding classical automata grow without bound.
[ { "version": "v1", "created": "Thu, 20 Jan 2011 08:17:25 GMT" }, { "version": "v2", "created": "Tue, 16 Aug 2011 13:50:08 GMT" } ]
2014-01-29T00:00:00
[ [ "Ambainis", "Andris", "" ], [ "Yakaryilmaz", "Abuzer", "" ] ]
1801.06937
Jeremy Darling
Jeremy Darling
The $^{87}$Rubidium Atomic Clock Maser in Giant Stars
2 pages, published in RNAAS
null
null
null
astro-ph.SR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We conducted a Green Bank Telescope search for the ground state 6.8 GHz hyperfine transition of rubidium ($^{87}$Rb) toward giant stars detected in Rb I optical resonance lines. The spin-flip transition of $^{87}$Rb is one of the principal transitions used in atomic clocks, in addition to the hydrogen 21 cm maser and the $^{133}$Cs hyperfine transition (which defines the second). The optical lines of $^{87}$Rb and $^{85}$Rb can together pump the 6.8 GHz transition to form a maser, and the same optical pumping used in atomic clocks may occur in the atmospheres of evolved stars. No 6.8 GHz $^{87}$Rb lines were detected above 3.8$\sigma$.
[ { "version": "v1", "created": "Mon, 22 Jan 2018 02:19:43 GMT" } ]
2018-01-23T00:00:00
[ [ "Darling", "Jeremy", "" ] ]
2012.02545
Piotr Lebiedowicz
Antoni Szczurek and Piotr Lebiedowicz
Inclusive production of $f_2(1270)$ tensor mesons at the LHC via gluon-gluon fusion in the $k_t$-factorization approach
6 pages, 3 figures, Proceedings of The 40th International Conference on High Energy physics - ICHEP2020, July 28 - August 6, 2020, Prague, Czech Republic (virtual meeting)
null
null
null
hep-ph hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The cross section for inclusive production of $f_2(1270)$ meson is calculated. We include both the mechanism of gluon-gluon fusion as well as the $\pi \pi$ final-state rescattering. The contribution of the gluon-gluon fusion is calculated within the $k_t$-factorization approach with modern unintegrated gluon distribution functions (UGDFs). Some parameters for the $g^* g^* \to f_2$ vertex are extracted from the $\gamma \gamma \to f_2(1270) \to \pi \pi$ reactions. The results strongly depend on the parametrization of the $g^* g^* \to f_2(1270)$ form factor. Results of our model are compared to the ALICE preliminary data. The gluon-gluon fusion does not explain low-$p_t$ data but could be the dominant mechanism at somewhat larger meson transverse momenta. By adjusting some parameters the pion-pion rescattering can explain the low-$p_t$ region.
[ { "version": "v1", "created": "Fri, 4 Dec 2020 12:00:30 GMT" } ]
2020-12-07T00:00:00
[ [ "Szczurek", "Antoni", "" ], [ "Lebiedowicz", "Piotr", "" ] ]
cond-mat/9703189
Zanchi
D. Zanchi and H. J. Schulz
Weakly correlated electrons on a square lattice: a renormalization group theory
12 pages, REVTEX, 3 figures included, submitted to Phys. Rev. Lett
null
10.1209/epl/i1998-00462-x
null
cond-mat.supr-con cond-mat.str-el
null
We study the weakly interacting Hubbard model on the square lattice using a one-loop renormalization group approach. The transition temperature T_c between the metallic and (nearly) ordered states is found. In the parquet regime, (T_c >> |mu|), the dominant correlations at temperatures below T_c are antiferromagnetic while in the BCS regime (T_c << |mu|) at T_c the d-wave singlet pairing susceptibility is most divergent.
[ { "version": "v1", "created": "Thu, 20 Mar 1997 18:28:00 GMT" } ]
2009-10-30T00:00:00
[ [ "Zanchi", "D.", "" ], [ "Schulz", "H. J.", "" ] ]
0812.2942
Iosif Bena
Iosif Bena, Nikolay Bobev, Clement Ruef, and Nicholas P. Warner
Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
60 pages, 2 figures, LaTeX
JHEP 0907:106,2009
10.1088/1126-6708/2009/07/106
IPhT-T08/211
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss two ways in which one can study two-charge supertubes as components of generic three-charge, three-dipole charge supergravity solutions. The first is using the Born-Infeld action of the supertubes, and the second is via the complete supergravity solution. Even though the Born-Infeld description is only a probe approximation, we find that it gives exactly the same essential physics as the complete supergravity solution. Since supertubes can depend on arbitrary functions, our analysis strengthens the evidence for the existence of three-charge black-hole microstate geometries that depend on an infinite set of parameters, and sets the stage for the computation of the entropy of these backgrounds. We examine numerous other aspects of supertubes in three-charge, three-dipole charge supergravity backgrounds, including chronology protection during mergers, the contribution of supertubes to the charges and angular momenta, and the enhancement of their entropy. In particular, we find that entropy enhancement affects supertube fluctuations both along the internal and the spacetime directions, and we prove that the charges that give the enhanced entropy can be much larger than the asymptotic charges of the solution. We also re-examine the embedding of five-dimensional black rings in Taub-NUT, and show that in different coordinate patches a ring can correspond to different four-dimensional black holes. Last, but not least, we show that all the three-charge black hole microstate geometries constructed so far can be embedded in AdS_3 x S^3, and hence can be related to states of the D1-D5 CFT.
[ { "version": "v1", "created": "Mon, 15 Dec 2008 23:38:15 GMT" } ]
2011-06-02T00:00:00
[ [ "Bena", "Iosif", "" ], [ "Bobev", "Nikolay", "" ], [ "Ruef", "Clement", "" ], [ "Warner", "Nicholas P.", "" ] ]
cond-mat/0502644
Silvio R. Dahmen
Z. Farkas, S. R. Dahmen and D. E. Wolf
Static Versus Dynamic Friction: The Role of Coherence
10 pages, 2 figures, revtex4
J. Stat. Mech.: Theor. Exp. (2005) P06015
10.1088/1742-5468/2005/06/P06015
null
cond-mat.mtrl-sci
null
A simple model for solid friction is analyzed. It is based on tangential springs representing interlocked asperities of the surfaces in contact. Each spring is given a maximal strain according to a probability distribution. At their maximal strain the springs break irreversibly. Initially all springs are assumed to have zero strain, because at static contact local elastic stresses are expected to relax. Relative tangential motion of the two solids leads to a loss of coherence of the initial state: The springs get out of phase due to differences in their sizes. This mechanism alone is shown to lead to a difference between static and dynamic friction forces already. We find that in this case the ratio of the static and dynamic coefficients decreases with increasing relative width of the probability distribution, and has a lower bound of 1 and an upper bound of 2.
[ { "version": "v1", "created": "Sun, 27 Feb 2005 20:22:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Farkas", "Z.", "" ], [ "Dahmen", "S. R.", "" ], [ "Wolf", "D. E.", "" ] ]
1409.0430
Alessandro Fortunati
Alessandro Fortunati, Stephen Wiggins
A Kolmogorov theorem for nearly-integrable Poisson systems with asymptotically decaying time-dependent perturbation
10 pages
Regul. Chaotic Dyn., 20(4):476-485, 2015
10.1134/S1560354715040061
null
math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The aim of this paper is to prove the Kolmogorov theorem of persistence of Diophantine flows for nearly-integrable Poisson systems associated to a real analytic Hamiltonian with aperiodic time dependence, provided that the perturbation is asymptotically vanishing. The paper is an extension of an analogous result by the same authors for canonical Hamiltonian systems; the flexibility of the Lie series method developed by A. Giorgilli et al., is profitably used in the present generalisation.
[ { "version": "v1", "created": "Mon, 1 Sep 2014 14:17:22 GMT" } ]
2015-08-12T00:00:00
[ [ "Fortunati", "Alessandro", "" ], [ "Wiggins", "Stephen", "" ] ]
astro-ph/0606265
Valery Pipin
V.V.Pipin
The mean electro-motive force, current- and cross-helicity under the influence of rotation, magnetic field and shear
27 pages, 8 figures, submitted to GAFD
Geophys.Astrophys.Fluid Dynamics.102:21,2008
10.1080/03091920701374772
null
astro-ph
null
The mean electromotive force (MEMF) in a rotating stratified magnetohydrodynamical turbulence is studied.Our study rests on the mean-field magnetohydrodynamics framework and $\tau$ approximation. We compute the effects of the large-scale magnetic fields (LSMF), global rotation and large-scale shear flow on the different parts of the MEMF (such as $\alpha$ - effect, turbulent diffusion, turbulent transport, etc.) in an explicit form. The influence of the helical magnetic fluctuations which stem from the small-scale dynamo is taken into account, as well. In the paper, we derive the equation governing the current helicity evolution. It is shown that the joint effect of the differential rotation and magnetic fluctuations in the stratified media can be responsible for the generation, maintenance and redistribution of the current helicity. The implication of the obtained results to astrophysical dynamos is considered as well.
[ { "version": "v1", "created": "Mon, 12 Jun 2006 10:19:51 GMT" }, { "version": "v2", "created": "Tue, 13 Jun 2006 10:23:03 GMT" }, { "version": "v3", "created": "Thu, 6 Jul 2006 06:39:26 GMT" }, { "version": "v4", "created": "Sat, 30 Dec 2006 10:26:30 GMT" }, { "version": "v5", "created": "Fri, 5 Jan 2007 09:27:36 GMT" }, { "version": "v6", "created": "Mon, 22 Jan 2007 08:29:24 GMT" } ]
2009-02-10T00:00:00
[ [ "Pipin", "V. V.", "" ] ]
2112.03524
Zilong Zhang
Suyi Zhao, Zilong Zhang, Yuan Gao, Xin Wang, YuChen Jie, Changming Zhao
Self-healing and transformation characteristics of obstructed Hermite-Gaussian modes composed structured beams
null
null
null
null
physics.optics
http://creativecommons.org/licenses/by/4.0/
The self-healing property of laser beams is of great interest. And a laser beam with spatial structures is also widely concerned due to its important applications in lots of areas. We theoretically and experimentally investigate the self-healing and transformation characteristics of obstructed structured beams composed by incoherent or coherent superposition of multiple Hermite-Gaussian (HG) modes. We reveal that partially obstructed single HG mode can recover itself or transfer to a lower order in the far-field. When the obstacle retains one pair of edged bright spots of HG mode in each direction of its two symmetry axes, the beam structure information (number of knot lines) along each axis can be restored. Otherwise, it will be transferred to the corresponding low-order HG mode or multi interference fringes in the far-field, according to the interval of the two most edged remaining spots on each axis. It's proved that the above effect is induced by the diffraction and interference results of the partially retained light field. This principle is also applicable to multi-eigenmodes composed beams with special customized optical structures. Then the self-healing and transformation characteristics of the partially obstructed HG modes composed structured beams are investigated. It's found that the HG modes incoherently composed structured beams have a strong ability to recover themselves in the far-field after occlusion. These investigations can expand the applications of optical lattice structures of laser communication, atom optical capture, and optical imaging.
[ { "version": "v1", "created": "Tue, 7 Dec 2021 06:44:21 GMT" }, { "version": "v2", "created": "Tue, 21 Dec 2021 03:50:58 GMT" } ]
2021-12-22T00:00:00
[ [ "Zhao", "Suyi", "" ], [ "Zhang", "Zilong", "" ], [ "Gao", "Yuan", "" ], [ "Wang", "Xin", "" ], [ "Jie", "YuChen", "" ], [ "Zhao", "Changming", "" ] ]
2402.14727
Rafael L\'opez
Rafael L\'opez, Marian Ioan Munteanu
Solitons of the mean curvature flow in $\mathbb{s}^2\times\mathbb{R}$
14 pages, 5 figures
null
null
null
math.DG
http://creativecommons.org/licenses/by/4.0/
A soliton of the mean curvature flow in the product space $\mathbb{s}^2\times\mathbb{R}$ as a surface whose mean curvature $H$ satisfies the equation $H=\langle N,X\rangle$, where $N$ is the unit normal of the surface and $X$ is a Killing vector field. In this paper we consider the vector field tangent to the fibers and the vector field associated to a rotations about an axis of $\mathbb{s}^2$, respectively. We give a classification of the solitons with respect to these vector fields assuming that the surface is invariant under a one-parameter group of vertical translations or under a group of rotations of $\mathbb{s}^2$.
[ { "version": "v1", "created": "Thu, 22 Feb 2024 17:34:47 GMT" } ]
2024-02-23T00:00:00
[ [ "López", "Rafael", "" ], [ "Munteanu", "Marian Ioan", "" ] ]
2410.08597
Florence Dupin de Saint-Cyr
Florence Dupin de Saint-Cyr (IRIT-ADRIA), Anne-Gwenn Bosser (Lab-STICC\_COMMEDIA, ENIB, Lab-STICC), Benjamin Callac (Lab-STICC\_COMMEDIA), Eric Maisel (Lab-STICC\_COMMEDIA)
What killed the cat? Towards a logical formalization of curiosity (and suspense, and surprise) in narratives
null
31st International Symposium on Temporal Representation and Reasoning (TIME 2024), Oct 2024, Montpellier, France
null
null
cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a unified framework in which the three emotions at the heart of narrative tension (curiosity, suspense and surprise) are formalized. This framework is built on nonmonotonic reasoning which allows us to compactly represent the default behavior of the world and to simulate the affective evolution of an agent receiving a story. After formalizing the notions of awareness, curiosity, surprise and suspense, we explore the properties induced by our definitions and study the computational complexity of detecting them. We finally propose means to evaluate these emotions' intensity for a given agent listening to a story.
[ { "version": "v1", "created": "Fri, 11 Oct 2024 07:50:55 GMT" } ]
2024-10-14T00:00:00
[ [ "de Saint-Cyr", "Florence Dupin", "", "IRIT-ADRIA" ], [ "Bosser", "Anne-Gwenn", "", "Lab-STICC\\_COMMEDIA, ENIB, Lab-STICC" ], [ "Callac", "Benjamin", "", "Lab-STICC\\_COMMEDIA" ], [ "Maisel", "Eric", "", "Lab-STICC\\_COMMEDIA" ] ]
cond-mat/0308325
Gordon Baym
Gordon Baym and C.J. Pethick
Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates
11 pages in LateX, 3 figures
Phys.Rev.A69:043619,2004
10.1103/PhysRevA.69.043619
null
cond-mat.soft cond-mat.mes-hall
null
We develop an approach for calculating stationary states of rotating Bose-Einstein condensates in harmonic traps which is applicable for arbitrary ratios of the rotation frequency to the transverse frequency of the trap $\omega_{\perp}$. Assuming the number of vortices to be large, we write the condensate wave function as the product of a function that describes the structure of individual vortices times an envelope function, varying slowly on the scale of the vortex spacing. By minimizing the energy, we derive Gross-Pitaevskii equations that determine the properties of individual vortices and the global structure of the cloud. For low rotation rates, the structure of a vortex is that of an isolated vortex in a uniform medium, while for rotation rates approaching the frequency of the trap (the mean field quantum Hall regime), the structure is that of the lowest p-wave state of a particle in a harmonic trap with frequency $\omega_{\perp}$. The global structure of the cloud is determined by minimizing the energy with respect to variations of the envelope function; for conditions appropriate to most experimental investigations to date, we predict that the transverse density profile of the cloud will be of the Thomas-Fermi form, rather than the Gaussian structure predicted on the assumption that the wave function consists only of components in the lowest Landau level.
[ { "version": "v1", "created": "Sat, 16 Aug 2003 05:07:09 GMT" } ]
2009-02-05T00:00:00
[ [ "Baym", "Gordon", "" ], [ "Pethick", "C. J.", "" ] ]
2010.12279
Anna Nelles
J. A. Aguilar, P. Allison, J. J. Beatty, H. Bernhoff, D. Besson, N. Bingefors, O. Botner, S. Buitink, K. Carter, B. A. Clark, A. Connolly, P. Dasgupta, S. de Kockere, K. D. de Vries, C. Deaconu, M. A. DuVernois, N. Feigl, D. Garcia-Fernandez, C. Glaser, A. Hallgren, S. Hallmann, J. C. Hanson, B. Hendricks, B. Hokanson-Fasig, C. Hornhuber, K. Hughes, A. Karle, J. L. Kelley, S. R. Klein, R. Krebs, R. Lahmann, M. Magnuson, T. Meures, Z. S. Meyers, A. Nelles, A. Novikov, E. Oberla, B. Oeyen, H. Pandya, I. Plaisier, L. Pyras, D. Ryckbosch, O. Scholten, D. Seckel, D. Smith, D. Southall, J. Torres, S. Toscano, D. J. Van Den Broeck, N. van Eijndhoven, A. G. Vieregg, C. Welling, S. Wissel, R. Young, A. Zink
Design and Sensitivity of the Radio Neutrino Observatory in Greenland (RNO-G)
51 pages, 27 figures, version updated to include corrected figure of effective areas and error in caption
JINST 16 P03025 2021
10.1088/1748-0221/16/03/P03025
null
astro-ph.IM astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This article presents the design of the Radio Neutrino Observatory Greenland (RNO-G) and discusses its scientific prospects. Using an array of radio sensors, RNO-G seeks to measure neutrinos above 10 PeV by exploiting the Askaryan effect in neutrino-induced cascades in ice. We discuss the experimental considerations that drive the design of RNO-G, present first measurements of the hardware that is to be deployed and discuss the projected sensitivity of the instrument. RNO-G will be the first production-scale radio detector for in-ice neutrino signals.
[ { "version": "v1", "created": "Fri, 23 Oct 2020 10:20:06 GMT" }, { "version": "v2", "created": "Mon, 26 Oct 2020 14:20:22 GMT" }, { "version": "v3", "created": "Sat, 26 Dec 2020 14:21:55 GMT" }, { "version": "v4", "created": "Tue, 31 Jan 2023 10:36:57 GMT" }, { "version": "v5", "created": "Tue, 30 Jul 2024 07:57:51 GMT" } ]
2024-07-31T00:00:00
[ [ "Aguilar", "J. A.", "" ], [ "Allison", "P.", "" ], [ "Beatty", "J. J.", "" ], [ "Bernhoff", "H.", "" ], [ "Besson", "D.", "" ], [ "Bingefors", "N.", "" ], [ "Botner", "O.", "" ], [ "Buitink", "S.", "" ], [ "Carter", "K.", "" ], [ "Clark", "B. A.", "" ], [ "Connolly", "A.", "" ], [ "Dasgupta", "P.", "" ], [ "de Kockere", "S.", "" ], [ "de Vries", "K. D.", "" ], [ "Deaconu", "C.", "" ], [ "DuVernois", "M. A.", "" ], [ "Feigl", "N.", "" ], [ "Garcia-Fernandez", "D.", "" ], [ "Glaser", "C.", "" ], [ "Hallgren", "A.", "" ], [ "Hallmann", "S.", "" ], [ "Hanson", "J. C.", "" ], [ "Hendricks", "B.", "" ], [ "Hokanson-Fasig", "B.", "" ], [ "Hornhuber", "C.", "" ], [ "Hughes", "K.", "" ], [ "Karle", "A.", "" ], [ "Kelley", "J. L.", "" ], [ "Klein", "S. R.", "" ], [ "Krebs", "R.", "" ], [ "Lahmann", "R.", "" ], [ "Magnuson", "M.", "" ], [ "Meures", "T.", "" ], [ "Meyers", "Z. S.", "" ], [ "Nelles", "A.", "" ], [ "Novikov", "A.", "" ], [ "Oberla", "E.", "" ], [ "Oeyen", "B.", "" ], [ "Pandya", "H.", "" ], [ "Plaisier", "I.", "" ], [ "Pyras", "L.", "" ], [ "Ryckbosch", "D.", "" ], [ "Scholten", "O.", "" ], [ "Seckel", "D.", "" ], [ "Smith", "D.", "" ], [ "Southall", "D.", "" ], [ "Torres", "J.", "" ], [ "Toscano", "S.", "" ], [ "Broeck", "D. J. Van Den", "" ], [ "van Eijndhoven", "N.", "" ], [ "Vieregg", "A. G.", "" ], [ "Welling", "C.", "" ], [ "Wissel", "S.", "" ], [ "Young", "R.", "" ], [ "Zink", "A.", "" ] ]
1911.05321
Ajay Mandlekar
Ajay Mandlekar, Fabio Ramos, Byron Boots, Silvio Savarese, Li Fei-Fei, Animesh Garg, Dieter Fox
IRIS: Implicit Reinforcement without Interaction at Scale for Learning Control from Offline Robot Manipulation Data
null
null
null
null
cs.RO cs.AI cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Learning from offline task demonstrations is a problem of great interest in robotics. For simple short-horizon manipulation tasks with modest variation in task instances, offline learning from a small set of demonstrations can produce controllers that successfully solve the task. However, leveraging a fixed batch of data can be problematic for larger datasets and longer-horizon tasks with greater variations. The data can exhibit substantial diversity and consist of suboptimal solution approaches. In this paper, we propose Implicit Reinforcement without Interaction at Scale (IRIS), a novel framework for learning from large-scale demonstration datasets. IRIS factorizes the control problem into a goal-conditioned low-level controller that imitates short demonstration sequences and a high-level goal selection mechanism that sets goals for the low-level and selectively combines parts of suboptimal solutions leading to more successful task completions. We evaluate IRIS across three datasets, including the RoboTurk Cans dataset collected by humans via crowdsourcing, and show that performant policies can be learned from purely offline learning. Additional results at https://sites.google.com/stanford.edu/iris/ .
[ { "version": "v1", "created": "Wed, 13 Nov 2019 06:56:21 GMT" }, { "version": "v2", "created": "Sun, 23 Feb 2020 02:33:41 GMT" } ]
2020-02-25T00:00:00
[ [ "Mandlekar", "Ajay", "" ], [ "Ramos", "Fabio", "" ], [ "Boots", "Byron", "" ], [ "Savarese", "Silvio", "" ], [ "Fei-Fei", "Li", "" ], [ "Garg", "Animesh", "" ], [ "Fox", "Dieter", "" ] ]
1902.07900
Shashi Bhushan Pandey
S. B. Pandey, Y. Hu, A. J. Castro-Tirado, A. S. Pozanenko, R. S\'anchez-Ram\'irez, J. Gorosabel, 5 S. Guziy, M. Jelinek, J. C. Tello, S. Jeong, S. R. Oates, B. -B. Zhang, E. D. Mazaeva, A. A. Volnova, P. Yu. Minaev, H. J. van Eerten, M. D. Caballero-Garc\'ia, D. P\'erez-Ram\'irez, M. Bremer, J.-M. Winters, I. H. Park, A. Nicuesa Guelbenzu, S. Klose, A. Moskvitin, V. V. Sokolov, E. Sonbas, A. Ayala, J. Cepa, N. Butler, E. Troja, A. M. Chernenko, S. V. Molkov, A. E. Volvach, R. Ya. Inasaridze, Sh. A. Egamberdiyev, O. Burkhonov, I. V. Reva, K. A. Polyakov, A. A. Matkin, A. L. Ivanov, I. Molotov, T. Guver, A. M. Watson, A. Kutyrev, W. H. Lee, O. Fox, O. Littlejohns, A. Cucchiara, J. Gonzalez, M. G. Richer, C. G. Rom\'an-Z\'u\~niga, N. R. Tanvir, J. S. Bloom, J. X. Prochaska, N. Gehrels, H. Moseley, J. A. de Diego, E. Ram\'irez-Ruiz, E. V. Klunko, Y. Fan, X. Zhao, J. Bai, Ch. Wang, Y. Xin, Ch. Cui, N. Tungalag, Z.-K. Peng, Amit Kumar, Rahul Gupta, Amar Aryan, Brajesh Kumar, L. N. Volvach, G. P. Lamb, A. F. Valeev
A multi-wavelength analysis of a collection of short-duration GRBs observed between 2012-2015
24 pages, 22 figures, Accepted to MNRAS, 2019 February 19. Received 2019 February 19; in original form 2018 August 30
null
10.1093/mnras/stz530
null
astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the prompt emission and the afterglow properties of short duration gamma-ray burst (sGRB) 130603B and another eight sGRB events during 2012-2015, observed by several multi-wavelength facilities including the GTC 10.4m telescope. Prompt emission high energy data of the events were obtained by INTEGRAL/SPI/ACS, Swift/BAT and Fermi/GBM satellites. The prompt emission data by INTEGRAL in the energy range of 0.1-10 MeV for sGRB 130603B, sGRB 140606A, sGRB 140930B, sGRB 141212A and sGRB 151228A do not show any signature of the extended emission or precursor activity and their spectral and temporal properties are similar to those seen in case of other short bursts. For sGRB130603B, our new afterglow photometric data constraints the pre jet-break temporal decay due to denser temporal coverage. For sGRB 130603B, the afterglow light curve, containing both our new as well as previously published photometric data is broadly consistent with the ISM afterglow model. Modeling of the host galaxies of sGRB 130603B and sGRB 141212A using the LePHARE software supports a scenario in which the environment of the burst is undergoing moderate star formation activity. From the inclusion of our late-time data for 8 other sGRBs we are able to; place tight constraints on the non-detection of the afterglow, host galaxy or any underlying kilonova emission. Our late-time afterglow observations of the sGRB 170817A/GW170817 are also discussed and compared with the sub-set of sGRBs.
[ { "version": "v1", "created": "Thu, 21 Feb 2019 07:49:25 GMT" } ]
2019-03-06T00:00:00
[ [ "Pandey", "S. B.", "" ], [ "Hu", "Y.", "" ], [ "Castro-Tirado", "A. J.", "" ], [ "Pozanenko", "A. S.", "" ], [ "Sánchez-Ramírez", "R.", "" ], [ "Gorosabel", "J.", "" ], [ "Guziy", "5 S.", "" ], [ "Jelinek", "M.", "" ], [ "Tello", "J. C.", "" ], [ "Jeong", "S.", "" ], [ "Oates", "S. R.", "" ], [ "Zhang", "B. -B.", "" ], [ "Mazaeva", "E. D.", "" ], [ "Volnova", "A. A.", "" ], [ "Minaev", "P. Yu.", "" ], [ "van Eerten", "H. J.", "" ], [ "Caballero-García", "M. D.", "" ], [ "Pérez-Ramírez", "D.", "" ], [ "Bremer", "M.", "" ], [ "Winters", "J. -M.", "" ], [ "Park", "I. H.", "" ], [ "Guelbenzu", "A. Nicuesa", "" ], [ "Klose", "S.", "" ], [ "Moskvitin", "A.", "" ], [ "Sokolov", "V. V.", "" ], [ "Sonbas", "E.", "" ], [ "Ayala", "A.", "" ], [ "Cepa", "J.", "" ], [ "Butler", "N.", "" ], [ "Troja", "E.", "" ], [ "Chernenko", "A. M.", "" ], [ "Molkov", "S. V.", "" ], [ "Volvach", "A. E.", "" ], [ "Inasaridze", "R. Ya.", "" ], [ "Egamberdiyev", "Sh. A.", "" ], [ "Burkhonov", "O.", "" ], [ "Reva", "I. V.", "" ], [ "Polyakov", "K. A.", "" ], [ "Matkin", "A. A.", "" ], [ "Ivanov", "A. L.", "" ], [ "Molotov", "I.", "" ], [ "Guver", "T.", "" ], [ "Watson", "A. M.", "" ], [ "Kutyrev", "A.", "" ], [ "Lee", "W. H.", "" ], [ "Fox", "O.", "" ], [ "Littlejohns", "O.", "" ], [ "Cucchiara", "A.", "" ], [ "Gonzalez", "J.", "" ], [ "Richer", "M. G.", "" ], [ "Román-Zúñiga", "C. G.", "" ], [ "Tanvir", "N. R.", "" ], [ "Bloom", "J. S.", "" ], [ "Prochaska", "J. X.", "" ], [ "Gehrels", "N.", "" ], [ "Moseley", "H.", "" ], [ "de Diego", "J. A.", "" ], [ "Ramírez-Ruiz", "E.", "" ], [ "Klunko", "E. V.", "" ], [ "Fan", "Y.", "" ], [ "Zhao", "X.", "" ], [ "Bai", "J.", "" ], [ "Wang", "Ch.", "" ], [ "Xin", "Y.", "" ], [ "Cui", "Ch.", "" ], [ "Tungalag", "N.", "" ], [ "Peng", "Z. -K.", "" ], [ "Kumar", "Amit", "" ], [ "Gupta", "Rahul", "" ], [ "Aryan", "Amar", "" ], [ "Kumar", "Brajesh", "" ], [ "Volvach", "L. N.", "" ], [ "Lamb", "G. P.", "" ], [ "Valeev", "A. F.", "" ] ]
1311.7165
Huyuan Chen
Huyuan Chen and Hichem Hajaiej
Sharp embedding of Sobolev spaces involving general kernels and its application
20 pages
null
null
null
math.AP
http://creativecommons.org/licenses/by/3.0/
The purpose of this paper is to extend the embedding theorem of Sobolev spaces involving general kernels and we provide a sharp critical exponent in these embeddings. As an application, solutions for equations driven by a general integro-differential operator, with homogeneous Dirichlet boundary conditions, is established by using the Mountain Pass Theorem.
[ { "version": "v1", "created": "Wed, 27 Nov 2013 21:46:50 GMT" }, { "version": "v2", "created": "Fri, 4 Apr 2014 17:51:14 GMT" } ]
2014-04-07T00:00:00
[ [ "Chen", "Huyuan", "" ], [ "Hajaiej", "Hichem", "" ] ]
cond-mat/9812302
Peter Schwab
R. Raimondi and P. Schwab
Andreev Tunneling in Strongly Interacting Quantum Dots
8 pages, 4 figures; submitted to Superlattices and Microstructures
Superlattices and Microstructures 25, 1141 (1999)
10.1006/spmi.1999.0723
null
cond-mat.mes-hall
null
We review recent work on resonant Andreev tunneling through a strongly interacting quantum dot connected to a normal and to a superconducting lead. We derive a general expression for the current flowing in the structure and discuss the linear and non-linear transport in the nonperturbative regime. New effects associated to the Kondo resonance combined with the two-particle tunneling arise. The Kondo anomaly in the $I-V$ characteristics depends on the relative size of the gap energy and the Kondo temperature.
[ { "version": "v1", "created": "Thu, 17 Dec 1998 13:59:00 GMT" }, { "version": "v2", "created": "Tue, 20 Apr 1999 10:18:41 GMT" } ]
2009-10-31T00:00:00
[ [ "Raimondi", "R.", "" ], [ "Schwab", "P.", "" ] ]
1902.09999
Attila Andr\'as V\'ig
Zsolt Bihary and Attila Andr\'as V\'ig
Analytic solutions in a continuous-time financial market model
Journal of Economic Literature (JEL) code: G11, G17
null
null
null
econ.GN q-fin.EC q-fin.TR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a heterogeneous agent market model (HAM) in continuous time. The market is populated by fundamental traders and chartists, who both use simple linear trading rules. Most of the related literature explores stability, price dynamics and profitability either within deterministic models or by simulation. Our novel formulation lends itself to analytic treatment even in the stochastic case. We prove conditions for the (stochastic) stability of the price process, and also for the price to mean-revert to the fundamental value. Assuming stability, we derive analytic formulae on how the population ratios influence price dynamics and the profitability of the strategies. Our results suggest that whichever trader type is more present in the market will achieve higher returns.
[ { "version": "v1", "created": "Tue, 26 Feb 2019 15:26:29 GMT" } ]
2019-02-27T00:00:00
[ [ "Bihary", "Zsolt", "" ], [ "Víg", "Attila András", "" ] ]
hep-th/9906034
Manuel Reenders
Manuel Reenders
Dynamical symmetry breaking in the gauged Nambu-Jona-Lasinio model
Ph.D. Thesis, University of Groningen, 199 pages, figures included, LaTeX (BibTeX)
null
null
null
hep-th hep-ph
null
The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of relevant (renormalizable) four-fermion interactions near a critical curve separating a chiral symmetric and a dynamically chiral symmetry broken phase. The first three chapters of the thesis are introductory. Chapter 4 is based on hep-th/9712123. In an attempt to go beyond standard mean field approximations for four-fermion interactions, the 1/N expansion is utilized in chapter 5. Within the 1/N expansion, where N is the number of fermion flavors, it is shown that the renormalization group beta function of the U(1) gauge coupling has ultra-violet stable fixed points for sufficiently large N. This implies that the gauged Nambu-Jona-Lasinio model is a rare example of a nontrivial nonasymptotically free gauge field theory in four dimensions.
[ { "version": "v1", "created": "Fri, 4 Jun 1999 13:10:20 GMT" } ]
2007-05-23T00:00:00
[ [ "Reenders", "Manuel", "" ] ]
0801.0068
Jean-Philippe Uzan
Jean-Philippe Uzan, Chris Clarkson, and George F.R. Ellis
Time drift of cosmological redshifts as a test of the Copernican principle
4 pages. Version matching the published text in PRL
Phys.Rev.Lett.100:191303,2008
10.1103/PhysRevLett.100.191303
null
astro-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present the time drift of the cosmological redshift in a general spherically symmetric spacetime. We demonstrate that its observation would allow us to test the Copernican principle and so determine if our universe is radially inhomogeneous, an important issue in our understanding of dark energy. In particular, when combined with distance data, this extra observable allows one to fully reconstruct the geometry of a spacetime describing a spherically symmetric under-dense region around us, purely from background observations.
[ { "version": "v1", "created": "Sat, 29 Dec 2007 14:36:16 GMT" }, { "version": "v2", "created": "Wed, 23 Jul 2008 16:20:50 GMT" } ]
2009-06-23T00:00:00
[ [ "Uzan", "Jean-Philippe", "" ], [ "Clarkson", "Chris", "" ], [ "Ellis", "George F. R.", "" ] ]
2410.18078
Monica Rodriguez
M. I. Rodr\'iguez, U. Lisenfeld, S. Duarte Puertas, D. Espada, J. Dom\'inguez-G\'omez, M. S\'anchez-Portal, A. Bongiovanni, M. Alc\'azar-Laynez, M. Argudo-Fern\'andez, B. Bidaran, S. B. De Daniloff, J. Falc\'on-Barroso, E. Florido, R. Garc\'ia-Benito, A. Jimenez, K. Kreckel, R. F. Peletier, I. P\'erez, T. Ruiz-Lara, L. S\'anchez-Menguiano, G. Torres-R\'ios, P. Villalba-Gonz\'alez, S. Verley, A. Zurita
CO-CAVITY project: Molecular gas and star formation in void galaxies
26 pages, 9 figures. Accepted for publication in A&A
A&A 692, A125 (2024)
10.1051/0004-6361/202451482
null
astro-ph.GA
http://creativecommons.org/licenses/by/4.0/
Cosmic voids, distinguished by their low-density environment, provide a unique opportunity to explore the interplay between the cosmic environment and the processes of galaxy formation and evolution. Data on the molecular gas has been scarce so far. In this paper, we continue previous research done in the CO-CAVITY pilot project to study the molecular gas content and properties in void galaxies to search for possible differences compared to galaxies that inhabit denser structures. We observed at the IRAM 30 m telescope the CO(1-0) and CO(2-1) emission of 106 void galaxies selected from the CAVITY survey. Together with data from the literature, we obtained a sample of 200 void galaxies with CO data. We conducted a comprehensive comparison of the specific star formation rate (sSFR = SFR/M$_*$), the molecular gas fraction (MH$_2$/M$_*$), and the star formation efficiency (SFE = SFR/MH$_2$) between the void galaxies and a comparison sample of galaxies in filaments and walls, selected from the xCOLD GASS survey. We found no statistically significant difference between void galaxies and the comparison sample in the molecular gas fraction as a function of stellar mass for galaxies on the star-forming main sequence (SFMS). However, for void galaxies, the SFE was found to be constant across all stellar mass bins, while there is a decreasing trend with M$_*$ for the comparison sample. Finally, we found some indications for a smaller dynamical range in the molecular gas fraction as a function of distance to the SFMS in void galaxies. Overall, our analysis finds that the molecular gas properties of void galaxies are not very different from denser environments. The physical origin of the most significant difference that we found - a constant SFE as a function of stellar mass in void galaxies - is unclear and requires further investigation and higher-resolution data.
[ { "version": "v1", "created": "Wed, 23 Oct 2024 17:59:03 GMT" } ]
2024-12-11T00:00:00
[ [ "Rodríguez", "M. I.", "" ], [ "Lisenfeld", "U.", "" ], [ "Puertas", "S. Duarte", "" ], [ "Espada", "D.", "" ], [ "Domínguez-Gómez", "J.", "" ], [ "Sánchez-Portal", "M.", "" ], [ "Bongiovanni", "A.", "" ], [ "Alcázar-Laynez", "M.", "" ], [ "Argudo-Fernández", "M.", "" ], [ "Bidaran", "B.", "" ], [ "De Daniloff", "S. B.", "" ], [ "Falcón-Barroso", "J.", "" ], [ "Florido", "E.", "" ], [ "García-Benito", "R.", "" ], [ "Jimenez", "A.", "" ], [ "Kreckel", "K.", "" ], [ "Peletier", "R. F.", "" ], [ "Pérez", "I.", "" ], [ "Ruiz-Lara", "T.", "" ], [ "Sánchez-Menguiano", "L.", "" ], [ "Torres-Ríos", "G.", "" ], [ "Villalba-González", "P.", "" ], [ "Verley", "S.", "" ], [ "Zurita", "A.", "" ] ]
2203.12055
Niankai Yang
Niankai Yang, Chao Shen, Matthew Johnson-Roberson, and Jing Sun
Energy-optimal Three-dimensional Path-following Control of Autonomous Underwater Vehicles under Ocean Currents
8 pages, 7 figures
null
10.1109/CCTA49430.2022.9966180
null
eess.SY cs.SY
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a three-dimensional (3D) energy-optimal path-following control design for autonomous underwater vehicles subject to ocean currents. The proposed approach has a two-stage control architecture consisting of the setpoint computation and the setpoint tracking. In the first stage, the surge velocity, heave velocity, and pitch angle setpoints are optimized by minimizing the required vehicle propulsion energy under currents, and the line-of-sight (LOS) guidance law is used to generate the yaw angle setpoint that ensures path following. In the second stage, two model predictive controllers are designed to control the vehicle motion in the horizontal and vertical planes by tracking the optimal setpoints. The proposed controller is compared with a conventional LOS-based control that maintains zero heave velocity relative to the current (i.e., relative heave velocity) and derives pitch angle setpoint using LOS guidance to reach the desired depth. Through simulations, we show that the proposed approach can achieve more than 13% energy saving on a lawnmower-type and an inspection mission under different ocean current conditions. The simulation results demonstrate that allowing motions with non-zero relative heave velocity improves energy efficiency in 3D path-following applications.
[ { "version": "v1", "created": "Tue, 22 Mar 2022 21:29:31 GMT" }, { "version": "v2", "created": "Mon, 2 Jan 2023 07:03:16 GMT" } ]
2023-01-16T00:00:00
[ [ "Yang", "Niankai", "" ], [ "Shen", "Chao", "" ], [ "Johnson-Roberson", "Matthew", "" ], [ "Sun", "Jing", "" ] ]
1110.6791
Victor Rivelles
Victor O. Rivelles
Pulsating Strings in Deformed Backgrounds
8 pages. Talk presented at Quantum Theory and Symmetries 7, Prague, August 7-13, 2011
null
10.1088/1742-6596/343/1/012104
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a brief summary on pulsating strings in beta deformed backgrounds found recently.
[ { "version": "v1", "created": "Mon, 31 Oct 2011 13:40:03 GMT" } ]
2015-06-03T00:00:00
[ [ "Rivelles", "Victor O.", "" ] ]
2501.08613
Ramya Keerthy Thatikonda
Ramya Keerthy Thatikonda, Wray Buntine, Ehsan Shareghi
Assessing the Alignment of FOL Closeness Metrics with Human Judgement
Code: https://github.com/RamyaKeerthy/AlignmentFOL
null
null
null
cs.CL
http://creativecommons.org/licenses/by/4.0/
The recent successful paradigm of solving logical reasoning problems with tool-augmented large language models (LLMs) leverages translation of natural language statements into First-Order Logic~(FOL) and external theorem provers. However, the correctness of FOL statements, comprising operators and text predicates, often goes unverified due to the lack of a reliable evaluation metric for comparing generated and ground-truth FOLs. In this paper, we present a comprehensive study of sensitivity of existing metrics and their alignment with human judgement on FOL evaluation. Using ground-truth FOLs, we carefully designed various perturbations on the ground-truth to assess metric sensitivity. We sample FOL translation candidates for natural language statements and measure the ranking alignment between automatic metrics and human annotators. Our empirical findings highlight oversensitivity in the n-gram metric BLEU for text perturbations, the semantic graph metric Smatch++ for structural perturbations, and FOL metric for operator perturbation. We also observe a closer alignment between BertScore and human judgement. Additionally, we show that combining metrics enhances both alignment and sensitivity compared to using individual metrics.
[ { "version": "v1", "created": "Wed, 15 Jan 2025 06:22:35 GMT" }, { "version": "v2", "created": "Tue, 21 Jan 2025 02:02:39 GMT" } ]
2025-01-22T00:00:00
[ [ "Thatikonda", "Ramya Keerthy", "" ], [ "Buntine", "Wray", "" ], [ "Shareghi", "Ehsan", "" ] ]
1706.08286
Anurag Anshu
Anurag Anshu and Rahul Jain and Naqueeb Ahmad Warsi
A hypothesis testing approach for communication over entanglement assisted compound quantum channel
21 pages, version 3. Added an application to the composite quantum hypothesis testing. Expanded introduction
IEEE Transactions on Information Theory ( Volume: 65 , Issue: 4 , April 2019 )
10.1109/TIT.2018.2876280
null
quant-ph cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the problem of communication over a compound quantum channel in the presence of entanglement. Classically such channels are modeled as a collection of conditional probability distributions wherein neither the sender nor the receiver is aware of the channel being used for transmission, except for the fact that it belongs to this collection. We provide near optimal achievability and converse bounds for this problem in the one-shot quantum setting in terms of quantum hypothesis testing divergence. We also consider the case of informed sender, showing a one-shot achievability result that converges appropriately in the asymptotic and i.i.d. setting. Our achievability proof is similar in spirit to its classical counterpart. To arrive at our result, we use the technique of position-based decoding along with a new approach for constructing a union of two projectors, which can be of independent interest. We give another application of the union of projectors to the problem of testing composite quantum hypotheses.
[ { "version": "v1", "created": "Mon, 26 Jun 2017 08:52:21 GMT" }, { "version": "v2", "created": "Thu, 3 Aug 2017 08:36:39 GMT" }, { "version": "v3", "created": "Mon, 2 Apr 2018 15:02:49 GMT" } ]
2019-03-19T00:00:00
[ [ "Anshu", "Anurag", "" ], [ "Jain", "Rahul", "" ], [ "Warsi", "Naqueeb Ahmad", "" ] ]
1207.4699
Sandro Wimberger
Carlos A. Parra-Murillo, Javier Madro\~nero, Sandro Wimberger
A two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system
much extended and improved version (13 pages, 10 figures); comments are very welcome!
Phys. Rev. A 88, 032119 (2013)
10.1103/PhysRevA.88.032119
null
cond-mat.quant-gas nlin.CD quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study an experimentally realizable paradigm of complex many-body quantum systems, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body Landau-Zener processes can be engineered. A cross-over between regular to quantum chaotic spectra is found within the many-body avoided crossings at resonant tunneling conditions. The spectral properties are shown to determine the evolution of states across a cascade of Landau-Zener events. We apply the obtained spectral information to study the non-equilibrium dynamics of our many-body system in different parameter regimes.
[ { "version": "v1", "created": "Thu, 19 Jul 2012 15:03:30 GMT" }, { "version": "v2", "created": "Tue, 11 Jun 2013 13:17:01 GMT" } ]
2013-10-23T00:00:00
[ [ "Parra-Murillo", "Carlos A.", "" ], [ "Madroñero", "Javier", "" ], [ "Wimberger", "Sandro", "" ] ]
1710.00216
Andrey Ardentov
A.A. Ardentov, Yu.L. Sachkov
Maxwell Strata and Cut Locus in Sub-Riemannian Problem on Engel group
43 pages, 8 figures
null
10.1134/S1560354717080020
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the nilpotent left-invariant sub-Riemannian structure on the Engel group. This structure gives a fundamental local approximation of a generic rank 2 sub-Riemannian structure on a 4-manifold near a generic point (in particular, of the kinematic models of a car with a trailer). On the other hand, this is the simplest sub-Riemannian structure of step three. We describe the global structure of the cut locus (the set of points where geodesics lose their global optimality), the Maxwell set (the set of points that admit more than one minimizer), and the intersection of the cut locus with the caustic (the set of conjugate points along all geodesics). The group of symmetries of the cut locus is described: it is generated by a one-parameter group of dilations $\mathbb{R}_+$ and a discrete group of reflections $\mathbb{Z}_2 \times \mathbb{Z}_2 \times \mathbb{Z}_2$. The cut locus admits a stratification with 6 three-dimensional strata, 12 two-dimensional strata, and 2 one-dimensional strata. Three-dimen-sional strata of the cut locus are Maxwell strata of multiplicity 2 (for each point there are 2 minimizers). Two-dimensional strata of the cut locus consist of conjugate points. Finally, one-dimensional strata are Maxwell strata of infinite multiplicity, they consist of conjugate points as well. Projections of sub-Riemannian geodesics to the 2-dimensional plane of the distribution are Euler elasticae. For each point of the cut locus, we describe the Euler elasticae corresponding to minimizers coming to this point. Finally, we describe the structure of the optimal synthesis, i.e., the set of minimizers for each terminal point in the Engel group.
[ { "version": "v1", "created": "Sat, 30 Sep 2017 15:51:32 GMT" } ]
2018-03-14T00:00:00
[ [ "Ardentov", "A. A.", "" ], [ "Sachkov", "Yu. L.", "" ] ]
2209.11898
Ollie Thakar
Ollie Thakar
Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology
35 pages, 6 figures
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide a purely combinatorial proof of a skein exact sequence obeyed by double-point enhanced grid homology. We also extend the theory to coefficients over $\mathbb{Z},$ and discuss alternatives to the Ozsv\'ath-Szab\'o $\tau$ invariant.
[ { "version": "v1", "created": "Sat, 24 Sep 2022 01:14:51 GMT" } ]
2022-09-27T00:00:00
[ [ "Thakar", "Ollie", "" ] ]
2401.12641
Arno Pauly
Arno Pauly and Giovanni Sold\`a
Sequential discontinuity and first-order problems
null
null
null
null
math.LO cs.LO math.GN
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explore the low levels of the structure of the continuous Weihrauch degrees of first-order problems. In particular, we show that there exists a minimal discontinuous first-order degree, namely that of $\accn$, without any determinacy assumptions. The same degree is also revealed as the least sequentially discontinuous one, i.e. the least degree with a representative whose restriction to some sequence converging to a limit point is still discontinuous. The study of games related to continuous Weihrauch reducibility constitutes an important ingredient in the proof of the main theorem. We present some initial additional results about the degrees of first-order problems that can be obtained using this approach.
[ { "version": "v1", "created": "Tue, 23 Jan 2024 10:50:31 GMT" } ]
2024-01-24T00:00:00
[ [ "Pauly", "Arno", "" ], [ "Soldà", "Giovanni", "" ] ]
2012.04899
Andrea Perali
N. Pinto, C. Di Nicola, A. Trapananti, M. Minicucci, A. Di Cicco, A. Marcelli, A. Bianconi, F. Marchetti, C. Pettinari, A. Perali
Potassium-Doped Para-Terphenyl: Structure, Electrical Transport Properties and Possible Signatures of a Superconducting Transition
9 pages, 6 figures
Condensed Matter 5, 78 (2020)
10.3390/condmat5040078
null
cond-mat.supr-con cond-mat.mtrl-sci cond-mat.other
http://creativecommons.org/licenses/by-nc-sa/4.0/
Preliminary evidence for the occurrence of high-Tc superconductivity in alkali-doped organic materials, such as potassium-doped p-terphenyl (KPT), were recently obtained by magnetic susceptibility measurements and by the opening of a large superconducting gap as measured by ARPES and STM techniques. In this work, KPT samples have been synthesized by a chemical method and characterized by low-temperature Raman scattering and resistivity measurements. Here, we report the occurrence of a resistivity drop of more than 4 orders of magnitude at low temperatures in KPT samples in the form of compressed powder. This fact was interpreted as a possible sign of a broad superconducting transition taking place below 90 K in granular KPT. The granular nature of the KPT system appears to be also related to the 20 K broadening of the resistivity drop around the critical temperature.
[ { "version": "v1", "created": "Wed, 9 Dec 2020 07:54:34 GMT" } ]
2020-12-10T00:00:00
[ [ "Pinto", "N.", "" ], [ "Di Nicola", "C.", "" ], [ "Trapananti", "A.", "" ], [ "Minicucci", "M.", "" ], [ "Di Cicco", "A.", "" ], [ "Marcelli", "A.", "" ], [ "Bianconi", "A.", "" ], [ "Marchetti", "F.", "" ], [ "Pettinari", "C.", "" ], [ "Perali", "A.", "" ] ]
1511.01820
Daniel Chen
Daniel T.N. Chen, Michael Heymann, Seth Fraden, Daniela Nicastro, Zvonimir Dogic
ATP consumption of eukaryotic flagella measured at a single-cell level
29 pages, 5 main figures, 4 supplemental figures, 1 supplemental table
Biophysical Journal 109 (2015) 2562
10.1016/j.bpj.2015.11.003
null
physics.bio-ph cond-mat.soft q-bio.CB
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The motility of cilia and flagella is driven by thousands of dynein motors that hydrolyze adenosine triphosphate (ATP). Despite decades of genetic, biochemical, structural and biophysical studies, some aspects of ciliary motility remain elusive, such as the regulation of beating patterns and the energetic efficiency of these nanomachines. Here, we introduce an experimental method to measure ATP consumption of actively beating axonemes on a single-cell level. We encapsulated individual sea urchin sperm with demembranated flagellum inside water-in-oil emulsion droplets and measured the axonemes ATP consumption by monitoring fluorescence intensity of a fluorophore-coupled reporter system for ATP turnover in the droplet. Concomitant phase contrast imaging allowed us to extract a linear dependence between the ATP consumption rate and the flagellar beating frequency, with ~2.3e5 ATP molecules consumed per beat of a demembranated flagellum. Increasing the viscosity of the aqueous medium led to modified beating waveforms of the axonemes and to higher energy consumption per beat cycle. Our single-cell experimental platform provides both new insights into the beating mechanism of flagella and a powerful tool for future studies.
[ { "version": "v1", "created": "Thu, 5 Nov 2015 17:24:41 GMT" }, { "version": "v2", "created": "Mon, 21 Dec 2015 16:24:56 GMT" } ]
2015-12-22T00:00:00
[ [ "Chen", "Daniel T. N.", "" ], [ "Heymann", "Michael", "" ], [ "Fraden", "Seth", "" ], [ "Nicastro", "Daniela", "" ], [ "Dogic", "Zvonimir", "" ] ]
1806.01364
Michele Pavon
Michele Pavon, Esteban G Tabak and Giulio Trigila
The data-driven Schroedinger bridge
null
null
null
null
math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Erwin Schroedinger posed, and to a large extent solved in 1931/32 the problem of finding the most likely random evolution between two continuous probability distributions. This article considers this problem in the case when only samples of the two distributions are available. A novel iterative procedure is proposed, inspired by Fortet-Sinkhorn type algorithms. Since only samples of the marginals are available, the new approach features constrained maximum likelihood estimation in place of the nonlinear boundary couplings, and importance sampling to propagate the functions $\varphi$ and $\hat{\varphi}$ solving the Schroedinger system. This method is well-suited to high-dimensional settings, where introducing grids leads to numerically unfeasible or unreliable methods. The methodology is illustrated in two applications: entropic interpolation of two-dimensional Gaussian mixtures, and the estimation of integrals through a variation of importance sampling.
[ { "version": "v1", "created": "Mon, 4 Jun 2018 20:12:47 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2018 02:11:52 GMT" } ]
2018-06-07T00:00:00
[ [ "Pavon", "Michele", "" ], [ "Tabak", "Esteban G", "" ], [ "Trigila", "Giulio", "" ] ]
hep-th/9805076
Tamas Hauer
Tamas Hauer
Equivalent String Networks and Uniqueness of BPS States
28 pages, LaTeX, 18 eps figures
Nucl.Phys. B538 (1999) 117-136
10.1016/S0550-3213(98)00719-6
MIT-CTP-2740
hep-th
null
We analyze string networks in 7-brane configurations in IIB string theory. We introduce a complex parameter M characterizing equivalence classes of networks on a fixed 7-brane background and specifying the BPS mass of the network as M_{BPS} = | M |. We show that M can be calculated without knowing the particular representative of the BPS state. Based on detailed examination of backgrounds with three and four 7-branes we argue that equivalent networks may not be simultaneously BPS, an essential requirement of consistency.
[ { "version": "v1", "created": "Tue, 12 May 1998 20:41:38 GMT" } ]
2009-10-31T00:00:00
[ [ "Hauer", "Tamas", "" ] ]
1808.03443
Georges Gras
Georges Gras (LMB)
Test of Vandiver's conjecture with Gauss sums -- Heuristics
Few corrections, new references
Proc. Indian Acad. Sci. (Math. Sci.) (2020)
10.1007/s12044-020-00561-z
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The link between Vandiver's conjecture and Gauss sums is well known since the papers of Iwasawa (1975), Thaine (1995-1999) and Angl{\`e}s-Nuccio (2010). This conjecture is required in many subjects and we shall give such examples of relevant references. In this paper, we recall our interpretation of Vandiver's conjecture in terms of minus part of the torsion of the Galois group of the maximal abelian p-ramified pro-p-extension of the pth cyclotomic field (1984). Then we provide a specific use of Gauss sums of characters of order p of F\_ell^x and prove new criteria for Vandiver's conjecture to hold (Theorem 1.2(a) using both the sets of exponents of p-irregularity and of p-primarity of suitable twists of the Gauss sums, and Theorem 1.2(b) which does not need the knowledge of Bernoulli numbers or cyclotomic units). We propose in \S5.2 new heuristics showing that any counterexample to the conjecture leads to excessive constraints modulo p on the above twists as ell varies and suggests analytical approaches to evidence. We perform numerical experiments to strengthen our arguments in direction of the very probable truth of Vandiver's conjecture. All the calculations are given with their PARI/GP programs.
[ { "version": "v1", "created": "Fri, 10 Aug 2018 07:59:26 GMT" }, { "version": "v2", "created": "Wed, 29 Aug 2018 12:34:34 GMT" }, { "version": "v3", "created": "Tue, 11 Dec 2018 09:30:03 GMT" }, { "version": "v4", "created": "Mon, 8 Jul 2019 09:37:57 GMT" } ]
2021-08-17T00:00:00
[ [ "Gras", "Georges", "", "LMB" ] ]
hep-ph/0102237
Sofiane Tafat
Sofiane Tafat
Nonperturbative corrections to the Drell-Yan transverse momentum distribution
23 pages, 3 figures
JHEP 0105:004,2001
10.1088/1126-6708/2001/05/004
null
hep-ph
null
We study nonperturbative corrections to the transverse momentum distribution of vector bosons in the Drell-Yan process. Factorizing out the Sudakov effects due to soft gluons we express their contribution to the distribution in the form of the vacuum averaged Wilson loop operator. We calculate the nonperturbative contribution to the Sudakov form factor using the expansion of the Wilson loop over vacuum fields supplemented with the expression for nonlocal gauge invariant field strength correlator. Although the Wilson loop is defined in an essentially Minkowski kinematics, the part of the nonperturbative contribution depending on the invariant mass of the produced vector bosons is governed by asymptotics of the correlator at large space-like (Euclidean) separations and therefore can be calculated using conventional nonperturbative methods. Applying the results of lattice calculations we found that the obtained expression for the nonperturbative power corrections is in qualitative agreement with known phenomenological expressions at large transverse momenta and deviate from them at small transverse momenta.
[ { "version": "v1", "created": "Mon, 19 Feb 2001 16:20:45 GMT" }, { "version": "v2", "created": "Fri, 4 May 2001 15:14:00 GMT" } ]
2010-02-03T00:00:00
[ [ "Tafat", "Sofiane", "" ] ]
2112.11317
Arthur Grundner
Arthur Grundner, Tom Beucler, Pierre Gentine, Fernando Iglesias-Suarez, Marco A. Giorgetta, Veronika Eyring
Deep Learning Based Cloud Cover Parameterization for ICON
42 pages, 17 figures, Submitted to 'Journal of Advances in Modeling Earth Systems' (JAMES)
Journal of Advances in Modeling Earth Systems (JAMES), 2022
10.1029/2021MS002959
null
physics.ao-ph cs.LG
http://creativecommons.org/licenses/by/4.0/
A promising approach to improve cloud parameterizations within climate models and thus climate projections is to use deep learning in combination with training data from storm-resolving model (SRM) simulations. The ICOsahedral Non-hydrostatic (ICON) modeling framework permits simulations ranging from numerical weather prediction to climate projections, making it an ideal target to develop neural network (NN) based parameterizations for sub-grid scale processes. Within the ICON framework, we train NN based cloud cover parameterizations with coarse-grained data based on realistic regional and global ICON SRM simulations. We set up three different types of NNs that differ in the degree of vertical locality they assume for diagnosing cloud cover from coarse-grained atmospheric state variables. The NNs accurately estimate sub-grid scale cloud cover from coarse-grained data that has similar geographical characteristics as their training data. Additionally, globally trained NNs can reproduce sub-grid scale cloud cover of the regional SRM simulation. Using the game-theory based interpretability library SHapley Additive exPlanations, we identify an overemphasis on specific humidity and cloud ice as the reason why our column-based NN cannot perfectly generalize from the global to the regional coarse-grained SRM data. The interpretability tool also helps visualize similarities and differences in feature importance between regionally and globally trained column-based NNs, and reveals a local relationship between their cloud cover predictions and the thermodynamic environment. Our results show the potential of deep learning to derive accurate yet interpretable cloud cover parameterizations from global SRMs, and suggest that neighborhood-based models may be a good compromise between accuracy and generalizability.
[ { "version": "v1", "created": "Tue, 21 Dec 2021 16:10:45 GMT" }, { "version": "v2", "created": "Tue, 10 May 2022 14:19:00 GMT" }, { "version": "v3", "created": "Tue, 6 Dec 2022 10:58:21 GMT" } ]
2023-04-18T00:00:00
[ [ "Grundner", "Arthur", "" ], [ "Beucler", "Tom", "" ], [ "Gentine", "Pierre", "" ], [ "Iglesias-Suarez", "Fernando", "" ], [ "Giorgetta", "Marco A.", "" ], [ "Eyring", "Veronika", "" ] ]
1406.6429
Daniel Bienstock
Daniel Bienstock
A note on polynomial solvability of the CDT problem
null
null
null
null
math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a simple polynomial-time algorithm for the CDT problem that relies on a construction of Barvinok.
[ { "version": "v1", "created": "Wed, 25 Jun 2014 01:11:31 GMT" }, { "version": "v2", "created": "Sun, 6 Jul 2014 12:42:46 GMT" }, { "version": "v3", "created": "Mon, 9 Feb 2015 16:39:42 GMT" }, { "version": "v4", "created": "Thu, 19 Feb 2015 00:00:28 GMT" }, { "version": "v5", "created": "Fri, 20 Feb 2015 16:01:18 GMT" }, { "version": "v6", "created": "Mon, 23 Feb 2015 13:49:20 GMT" } ]
2015-02-24T00:00:00
[ [ "Bienstock", "Daniel", "" ] ]
2403.18747
Samuel Seddon
S. D. Seddon, C. R. S. Haines, T. P. A. Hase, M. R. Lees, L. M. Eng, M. Alexe, M. A. Carpenter
Ferroelastic control of magnetic domain structure: direct imaging by Magnetic Force Microscopy
null
null
null
null
cond-mat.mtrl-sci physics.app-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Pyrrhotite, Fe$_7$S$_8$, provides an example of exceptionally strong magnetoelastic coupling through pinning of ferromagnetic domains by ferroelastic twins. Using direct imaging of both magnetic and ferroelastic domains by magnetic force microscopy (MFM), the mechanism by which this coupling controls local magnetic switching behaviour of regions on the pyrrhotite surface is revealed, and leads to quantitative fitting of field dependent MFM phase shifts with bulk magnetometry data. It is shown that characteristic inflection points in the magnetometry data along certain direction, in particular $[\overline 120]^*_h$ of the hexagonal parent structure, are in fact caused by ferroelastic pinning of the magnetic moments.
[ { "version": "v1", "created": "Wed, 27 Mar 2024 16:46:53 GMT" } ]
2024-03-28T00:00:00
[ [ "Seddon", "S. D.", "" ], [ "Haines", "C. R. S.", "" ], [ "Hase", "T. P. A.", "" ], [ "Lees", "M. R.", "" ], [ "Eng", "L. M.", "" ], [ "Alexe", "M.", "" ], [ "Carpenter", "M. A.", "" ] ]
2210.01692
Jiayi Wang
Jiayi Wang and Diogo Luvizon and Franziska Mueller and Florian Bernard and Adam Kortylewski and Dan Casas and Christian Theobalt
HandFlow: Quantifying View-Dependent 3D Ambiguity in Two-Hand Reconstruction with Normalizing Flow
VMV 2022 - Symposium on Vision, Modeling, and Visualization
null
null
null
cs.CV
http://creativecommons.org/licenses/by-nc-nd/4.0/
Reconstructing two-hand interactions from a single image is a challenging problem due to ambiguities that stem from projective geometry and heavy occlusions. Existing methods are designed to estimate only a single pose, despite the fact that there exist other valid reconstructions that fit the image evidence equally well. In this paper we propose to address this issue by explicitly modeling the distribution of plausible reconstructions in a conditional normalizing flow framework. This allows us to directly supervise the posterior distribution through a novel determinant magnitude regularization, which is key to varied 3D hand pose samples that project well into the input image. We also demonstrate that metrics commonly used to assess reconstruction quality are insufficient to evaluate pose predictions under such severe ambiguity. To address this, we release the first dataset with multiple plausible annotations per image called MultiHands. The additional annotations enable us to evaluate the estimated distribution using the maximum mean discrepancy metric. Through this, we demonstrate the quality of our probabilistic reconstruction and show that explicit ambiguity modeling is better-suited for this challenging problem.
[ { "version": "v1", "created": "Tue, 4 Oct 2022 15:42:22 GMT" } ]
2022-10-05T00:00:00
[ [ "Wang", "Jiayi", "" ], [ "Luvizon", "Diogo", "" ], [ "Mueller", "Franziska", "" ], [ "Bernard", "Florian", "" ], [ "Kortylewski", "Adam", "" ], [ "Casas", "Dan", "" ], [ "Theobalt", "Christian", "" ] ]
0711.2122
Mohammad Sami
R. Chingangbam, M. Sami, P. V. Tretyakov, A.V. Toporensky
A Note on the Viability of Gauss-Bonnet Cosmology
6 latex pages, 4 eps figures, typos corrected and references added, final version to appear in Phys. Lett. B
Phys.Lett.B661:162-166,2008
10.1016/j.physletb.2008.01.070
null
hep-th astro-ph gr-qc hep-ph
null
In this paper, we analyze the viability of a vacuum Gauss-Bonnet cosmology by examining the dynamics of the homogeneous and anisotropic background in 4+1 dimensions. The trajectories of the system either originate from the standard singularity or from non-standard type, the later is characterized by the divergence of time derivative of the Hubble parameters for its finite value. At the onset, the system should relax to Einstein phase at late times as the effect of Gauss-Bonnet term becomes negligible in the low energy regime. However, we find that most of the trajectories emerging from the standard big-bang singularity lead to future re-collapse whereas the system beginning its evolution from the non-standard singularity enters the Kasner regime at late times. This leads to the conclusion that the measure of trajectories giving rise to a smooth evolution from a standard singularity to the Einstein phase is negligibly small for generic initial conditions.
[ { "version": "v1", "created": "Wed, 14 Nov 2007 07:34:11 GMT" }, { "version": "v2", "created": "Fri, 15 Feb 2008 08:50:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Chingangbam", "R.", "" ], [ "Sami", "M.", "" ], [ "Tretyakov", "P. V.", "" ], [ "Toporensky", "A. V.", "" ] ]
1008.2821
Makoto Katori
Makoto Katori, Hideki Tanemura
Complex Brownian Motion Representation of the Dyson Model
v5:AMS-LaTeX, 19 pages, no figure, final version appearing in ECP
Electron. Commun. Probab. 18 (2013), no.4, 1-16
10.1214/ECP.v18-2554
null
math.PR cond-mat.stat-mech hep-th math-ph math.MP nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Dyson's Brownian motion model with the parameter $\beta=2$, which we simply call the Dyson model in the present paper, is realized as an $h$-transform of the absorbing Brownian motion in a Weyl chamber of type A. Depending on initial configuration with a finite number of particles, we define a set of entire functions and introduce a martingale for a system of independent complex Brownian motions (CBMs), which is expressed by a determinant of a matrix with elements given by the conformal transformations of CBMs by the entire functions. We prove that the Dyson model can be represented by the system of independent CBMs weighted by this determinantal martingale. From this CBM representation, the Eynard-Mehta-type correlation kernel is derived and the Dyson model is shown to be determinantal. The CBM representation is a useful extension of $h$-transform, since it works also in infinite particle systems. Using this representation, we prove the tightness of a series of processes, which converges to the Dyson model with an infinite number of particles, and the noncolliding property of the limit process.
[ { "version": "v1", "created": "Tue, 17 Aug 2010 05:23:05 GMT" }, { "version": "v2", "created": "Mon, 4 Apr 2011 10:52:46 GMT" }, { "version": "v3", "created": "Wed, 3 Aug 2011 07:15:16 GMT" }, { "version": "v4", "created": "Sun, 30 Sep 2012 08:39:16 GMT" }, { "version": "v5", "created": "Tue, 15 Jan 2013 12:11:59 GMT" } ]
2013-01-16T00:00:00
[ [ "Katori", "Makoto", "" ], [ "Tanemura", "Hideki", "" ] ]
1502.01351
William Jacobs
William M. Jacobs, Aleks Reinhardt and Daan Frenkel
Rational design of self-assembly pathways for complex multicomponent structures
Accompanying code for computing free-energy landscapes of addressable structures can be found at https://github.com/wmjac/pygtsa
Proc. Natl Acad. Sci. USA 112, 6313-6318 (2015)
10.1073/pnas.1502210112
null
cond-mat.soft cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to understand the factors that optimize the yield and the kinetics of self-assembly. Here we use a simple theoretical method to explain the key features responsible for the unexpected success of DNA-brick experiments, which are currently the only demonstration of reliable self-assembly with such a large number of components. Simulations confirm that our theory accurately predicts the narrow temperature window in which error-free assembly can occur. Even more strikingly, our theory predicts that correct assembly of the complete structure may require a time-dependent experimental protocol. Furthermore, we predict that low coordination numbers result in non-classical nucleation behavior, which we find to be essential for achieving optimal nucleation kinetics under mild growth conditions. We also show that, rather surprisingly, the use of heterogeneous bond energies improves the nucleation kinetics and in fact appears to be necessary for assembling certain intricate three-dimensional structures. This observation makes it possible to sculpt nucleation pathways by tuning the distribution of interaction strengths. These insights not only suggest how to improve the design of structures based on DNA bricks, but also point the way toward the creation of a much wider class of chemical or colloidal structures with addressable complexity.
[ { "version": "v1", "created": "Wed, 4 Feb 2015 21:00:14 GMT" } ]
2015-06-02T00:00:00
[ [ "Jacobs", "William M.", "" ], [ "Reinhardt", "Aleks", "" ], [ "Frenkel", "Daan", "" ] ]