Date: Thu, 25 Feb 21 01:36:40 GMT Subject: math-ph daily 7 new + 11 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 23 Feb 21 19:00:00 GMT to Wed 24 Feb 21 19:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:2102.11940 Date: Tue, 23 Feb 2021 21:04:07 GMT (12kb,D) Title: Geometric invariant decomposition of SU(3) Authors: Martin Roelfs Categories: math-ph math.MP Comments: 7 pages \\ A novel invariant decomposition of diagonalizable $n \times n$ matrices into $n$ commuting matrices is presented. This decomposition is subsequently used to split the fundamental representation of $\mathfrak{su}(3)$ Lie algebra elements into at most three commuting elements of $\mathfrak{u}(3)$. As a result, the exponential of an $\mathfrak{su}(3)$ Lie algebra element can be split into three commuting generalized Euler's formulas, or conversely, a Lie group element can be factorized into at most three generalized Euler's formulas. After the factorization has been performed, the logarithm follows immediately. \\ ( https://arxiv.org/abs/2102.11940 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:2102.11979 Date: Tue, 23 Feb 2021 23:08:59 GMT (6085kb,D) Title: Contact statistics in random walks: Noninteracting walkers Authors: Mark Peter Rast Categories: math-ph cond-mat.stat-mech math.MP q-bio.PE \\ We examine the contact statistics of noninteracting random walkers on a two-dimensional plane. We find that the waiting time between successive contacts for an individual (the interarrival time) is non-exponentially distributed, with consequent non-Poison distributed contact counts. This manifests as over-dispersion of the contact-count probability mass function, caused by negative duration dependence of the waiting time interval when the walkers are in close proximity. While successive contacts are independent, the probability of repeat contact between individuals decreases with time after a previous contact. Further, contact duration depends sensitively on walker radius. For walker radii smaller than both the mean step length and the mean nearest neighbor separation, the probability density of the contact duration is strongly peaked at the ballistic crossing time for head-on collisions. The contact statistics of individuals in biological populations, dilute components of chemical systems, or Lagrangian particles in turbulent flows depends critically on the behavior at close proximity, whether it is attractive, repulsive, or neutral. This work clarifies those statistics for the neutral case, under the assumption that the underlying motions approximate a collection of random walkers, and we suggest it may be useful in understanding contagion in human populations. \\ ( https://arxiv.org/abs/2102.11979 , 6085kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12049 Date: Wed, 24 Feb 2021 03:35:31 GMT (99kb,D) Title: The relation between the symplectic group $Sp(4, \mathbb{R})$ and its Lie algebra: its application in polymer quantum mechanics Authors: Guillermo Chac\'on-Acosta and Angel Garc\'ia-Chung Categories: math-ph gr-qc math.MP quant-ph Comments: 31 pages, 2 figures \\ In this paper, we show the relation between $sp(4,\mathbb{R})$, the Lie algebra of the symplectic group, and the elements of $Sp(4,\mathbb{R})$. We use this result to obtain some special cases of symplectic matrices relevant to the study of squeezed states. In this regard, we provide some applications in quantum mechanics and analyze the squeezed polymer states obtained from the polymer representation of the symplectic group. Remarkably, the polymer's dispersions are the same as those obtained for the squeezed states in the usual representation. \\ ( https://arxiv.org/abs/2102.12049 , 99kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12231 Date: Wed, 24 Feb 2021 11:51:50 GMT (81kb) Title: Classification of topological invariants related to corner states Authors: Shin Hayashi Categories: math-ph cond-mat.mes-hall math.KT math.MP Comments: 46 pages, 1 figure MSC-class: 19K56 (Primary), 47B35, 81V99 (Secondary) \\ We discuss some bulk-surfaces gapped Hamiltonians on a lattice with corners and propose a periodic table for topological invariants related to corner states aimed at studies of higher-order topological insulators. Our table is based on four things: (1) the definition of topological invariants, (2) a proof of their relation with corner states (3) computations of K-groups and (4) a construction of explicit examples. \\ ( https://arxiv.org/abs/2102.12231 , 81kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12298 Date: Wed, 24 Feb 2021 14:27:20 GMT (15kb) Title: Stable knots and links in electromagnetic fields Authors: Benjamin Bode Categories: math-ph math.GT math.MP \\ In null electromagnetic fields the electric and the magnetic field lines evolve like unbreakable elastic filaments in a fluid flow. In particular, their topology is preserved for all time. We prove that for every link $L$ there is such an electromagnetic field that satisfies Maxwell's equations in free space and that has closed electric and magnetic field lines in the shape of $L$ for all time. \\ ( https://arxiv.org/abs/2102.12298 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12383 Date: Wed, 24 Feb 2021 16:10:20 GMT (482kb,D) Title: $c_2$ invariants of hourglass chains via quadratic denominator reduction Authors: Oliver Schnetz and Karen Yeats Categories: math-ph hep-th math.AG math.CO math.MP Comments: 27 pages MSC-class: 81T18 \\ We introduce families of four-regular graphs consisting of chains of hourglasses which are attached to a finite kernel. We prove a formula for the $c_2$ invariant of these hourglass chains which only depends on the kernel. For different kernels these hourglass chains typically give rise to different $c_2$ invariants. An exhaustive search for these $c_2$ invariants for all kernels with a maximum of ten vertices provides Calabi-Yau manifolds with point-counts which match the Fourier coefficients of modular forms whose levels and weights are [3,36], [4,8], [4,16], [6,4], [9,4]. We also confirm the conjecture that curves (weight two modular forms) are absent in $c_2$ invariants up to level 69. \\ ( https://arxiv.org/abs/2102.12383 , 482kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12453 Date: Wed, 24 Feb 2021 18:37:50 GMT (42kb) Title: Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs Authors: Johannes Th\"urigen Categories: math-ph hep-th math.MP Report-no: MaPhy-AvH/2021-02 \\ It is well known that the mathematical structure underlying renormalization in perturbative quantum field theory is based on a Hopf algebra of Feynman diagrams. A precondition for this is locality of the field theory. Consequently, one might suspect that non-local field theories such as matrix or tensor field theories cannot benefit from a similar algebraic understanding. Here I show that, on the contrary, the renormalization and perturbative diagramatics of a broad class of such field theories is based in the same way on a Hopf algebra. These theories are characterized by interaction vertices with graphs as external structure leading to Feynman diagrams which can be summed up under the concept of "2-graphs". From the renormalization perspective, such graph-like interactions are as much local as point-like interactions. They differ in combinatorial details as I exemplify with the central identity for the perturbative series of combinatorial correlation functions. This sets the stage for a systematic study of perturbative renormalization as well as non-perturbative aspects, e.g. Dyson-Schwinger equations, for a number of combinatorially non-local field theories with possible applications to quantum gravity, statistical models and more. \\ ( https://arxiv.org/abs/2102.12453 , 42kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:2102.11923 (*cross-listing*) Date: Mon, 22 Feb 2021 14:26:34 GMT (4003kb,D) Title: Universal Approximation Properties of Neural Networks for Energy-Based Physical Systems Authors: Yuhan Chen, Takashi Matsubara, Takaharu Yaguchi Categories: math.DS cs.LG math-ph math.MP \\ In Hamiltonian mechanics and the Landau theory, many physical phenomena are modeled using energy. In this paper, we prove the universal approximation property of neural network models for such physical phenomena. We also discuss behaviors of the models for integrable Hamiltonian systems when the loss function does not vanish completely by applying the KAM theory. \\ ( https://arxiv.org/abs/2102.11923 , 4003kb) ------------------------------------------------------------------------------ \\ arXiv:2102.11962 (*cross-listing*) Date: Tue, 23 Feb 2021 22:07:22 GMT (822kb,D) Title: The Talbot effect as the fundamental solution to the free Schr\"odinger equation Authors: Daniel Eceizabarrena Categories: math.AP math-ph math.CA math.MP MSC-class: 35Q41, 46F10, 35J05, 78A05 \\ The Talbot effect is usually modeled with the Helmholtz equation, but its main experimental features are captured by the solution to the free Schr\"odinger equation with the Dirac comb as initial datum. This simplified description is a consequence of the paraxial approximation in geometric optics, a heuristic procedure that is not mathematically well justified, so K. I. Oskolkov raised the problem of "mathematizing" this approximation. As a first approach to this question, the purpose of this article is to show that it holds exactly in the sense of distributions. \\ ( https://arxiv.org/abs/2102.11962 , 822kb) ------------------------------------------------------------------------------ \\ arXiv:2102.11990 (*cross-listing*) Date: Wed, 24 Feb 2021 00:11:37 GMT (1847kb,D) Title: Surface Gravity of Rotating Dumbbell Shapes Authors: Wai-Ting Lam, Marian Gidea, Fredy R Zypman Categories: astro-ph.EP math-ph math.DS math.MP physics.space-ph \\ We investigate the problem of determining the shape of a rotating celestial object - e.g., a comet or an asteroid - under its own gravitational field. More specifically, we consider an object symmetric with respect to one axis - such as a dumbbell - that rotates around a second axis perpendicular to the symmetry axis. We assume that the object can be modeled as an incompressible fluid of constant mass density, which is regarded as a first approximation of an aggregate of particles. In the literature, the gravitational field of a body is often described as a multipolar expansion involving spherical coordinates (Kaula, 1966). In this work we describe the shape in terms of cylindrical coordinates, which are most naturally adapted to the symmetry of the body, and we express the gravitational potential generated by the rotating body as a simple formula in terms of elliptic integrals. An equilibrium shape occurs when the gravitational potential energy and the rotational kinetic energy at the surface of the body balance each other out. Such an equilibrium shape can be derived as a solution of an optimization problem, which can be found via the variational method. We give an example where we apply this method to a two-parameter family of dumbbell shapes, and find approximate numerical solutions to the corresponding optimization problem. \\ ( https://arxiv.org/abs/2102.11990 , 1847kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12001 (*cross-listing*) Date: Wed, 24 Feb 2021 00:50:58 GMT (25kb) Title: Instability of ground states for the NLS equation with potential on the star graph Authors: Alex H. Ardila, Liliana Cely, Nataliia Goloshchapova Categories: math.AP math-ph math.MP \\ We study the nonlinear Schr\"odinger equation with an arbitrary real potential $V(x)\in (L^1+L^\infty)(\Gamma)$ on a star graph $\Gamma$. At the vertex an interaction occurs described by the generalized Kirchhoff condition with strength $-\gamma<0$. We show the existence of ground states $\varphi_{\omega}(x)$ as minimizers of the action functional on the Nehari manifold under additional negativity and decay conditions on $V(x)$. Moreover, for $V(x)=-\dfrac{\beta}{x^\alpha}$, in the supercritical case, we prove that the standing waves $e^{i\omega t}\varphi_{\omega}(x)$ are orbitally unstable in $H^{1}(\Gamma)$ when $\omega$ is large enough. Analogous result holds for an arbitrary $\gamma\in\mathbb{R}$ when the standing waves have symmetric profile. \\ ( https://arxiv.org/abs/2102.12001 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12022 (*cross-listing*) Date: Wed, 24 Feb 2021 02:03:38 GMT (158kb,D) Title: Emergent Einstein Equation in p-adic CFT Tensor Networks Authors: Lin Chen, Xirong Liu and Ling-Yan Hung Categories: hep-th cond-mat.str-el gr-qc math-ph math.MP quant-ph Comments: 5 + 2 pages, 3 figures \\ We take the tensor network describing explicit p-adic CFT partition functions proposed in [1], and considered boundary conditions of the network describing a deformed Bruhat-Tits (BT) tree geometry. We demonstrate that this geometry satisfies an emergent graph Einstein equation in a unique way that is consistent with the bulk effective matter action encoding the same correlation function as the tensor network, at least in the perturbative limit order by order away from the pure BT tree. Moreover, the (perturbative) definition of the graph curvature in the Mathematics literature naturally emerges from the consistency requirements of the emergent Einstein equation. This could provide new insights into the understanding of gravitational dynamics potentially encoded in more general tensor networks. \\ ( https://arxiv.org/abs/2102.12022 , 158kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12023 (*cross-listing*) Date: Wed, 24 Feb 2021 02:03:54 GMT (207kb,D) Title: Bending the Bruhat-Tits Tree I:Tensor Network and Emergent Einstein Equations Authors: Lin Chen, Xirong Liu and Ling-Yan Hung Categories: hep-th cond-mat.str-el gr-qc math-ph math.MP quant-ph \\ As an extended companion paper to [1], we elaborate in detail how the tensor network construction of a p-adic CFT encodes geometric information of a dual geometry even as we deform the CFT away from the fixed point by finding a way to assign distances to the tensor network. In fact we demonstrate that a unique (up to normalizations) emergent graph Einstein equation is satisfied by the geometric data encoded in the tensor network, and the graph Einstein tensor automatically recovers the known proposal in the mathematics literature, at least perturbatively order by order in the deformation away from the pure Bruhat-Tits Tree geometry dual to pure CFTs. Once the dust settles, it becomes apparent that the assigned distance indeed corresponds to some Fisher metric between quantum states encoding expectation values of bulk fields in one higher dimension. This is perhaps a first quantitative demonstration that a concrete Einstein equation can be extracted directly from the tensor network, albeit in the simplified setting of the p-adic AdS/CFT. \\ ( https://arxiv.org/abs/2102.12023 , 207kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12024 (*cross-listing*) Date: Wed, 24 Feb 2021 02:05:19 GMT (539kb,D) Title: Bending the Bruhat-Tits Tree II: the p-adic BTZ Black hole and Local Diffeomorephism on the Bruhat-Tits Tree Authors: Lin Chen, Xirong Liu and Ling-Yan Hung Categories: hep-th cond-mat.str-el gr-qc math-ph math.MP quant-ph Comments: 31 pages, 10 figures \\ In this sequel to [1], we take up a second approach in bending the Bruhat-Tits tree. Inspired by the BTZ black hole connection, we demonstrate that one can transplant it to the Bruhat-Tits tree, at the cost of defining a novel "exponential function" on the p-adic numbers that is hinted by the BT tree. We demonstrate that the PGL$(2,Q_p)$ Wilson lines [2] evaluated on this analogue BTZ connection is indeed consistent with correlation functions of a CFT at finite temperatures. We demonstrate that these results match up with the tensor network reconstruction of the p-adic AdS/CFT with a different cutoff surface at the asymptotic boundary, and give explicit coordinate transformations that relate the analogue p-adic BTZ background and the "pure" Bruhat-Tits tree background. This is an interesting demonstration that despite the purported lack of descendents in p-adic CFTs, there exists non-trivial local Weyl transformations in the CFT corresponding to diffeomorphism in the Bruhat-Tits tree. \\ ( https://arxiv.org/abs/2102.12024 , 539kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12123 (*cross-listing*) Date: Wed, 24 Feb 2021 08:38:24 GMT (165kb,D) Title: Upper bounds on the one-arm exponent for dependent percolation models Authors: Vivek Dewan, Stephen Muirhead Categories: math.PR math-ph math.MP Comments: 34 pages, 2 figures MSC-class: 2010 MSC classification: 60G60 (primary), 60F99 (secondary) \\ We prove upper bounds on the one-arm exponent $\eta_1$ for dependent percolation models; while our main interest is level set percolation of smooth Gaussian fields, the arguments apply to other models in the Bernoulli percolation universality class, including Poisson-Voronoi and Poisson-Boolean percolation. More precisely, in dimension $d=2$ we prove $\eta_1 \le 1/3$ for Gaussian fields with rapid correlation decay (e.g.\ the Bargmann-Fock field), and in general dimensions we prove $\eta_1 \le d/3$ for finite-range fields and $\eta_1 \le d-2$ for fields with rapid correlation decay. Although these results are classical for Bernoulli percolation (indeed they are best-known in general), existing proofs do not extend to dependent percolation models, and we develop a new approach based on exploration and relative entropy arguments. We also establish a new Russo-type inequality for smooth Gaussian fields which we use to prove the sharpness of the phase transition for finite-range fields. \\ ( https://arxiv.org/abs/2102.12123 , 165kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12202 (*cross-listing*) Date: Wed, 24 Feb 2021 10:57:49 GMT (49kb) Title: Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs Authors: Zied Ammari, Vedran Sohinger Categories: math.PR math-ph math.AP math.DS math.MP Comments: 51 pages MSC-class: Primary 35L05, 35Q55, 37D35, Secondary 60H07, 28C20 \\ The classical Kubo-Martin-Schwinger (KMS) condition is a fundamental property of statistical mechanics characterizing the equilibrium of infinite classical mechanical systems. It was introduced in the seventies by G. Gallavotti and E. Verboven as an alternative to the Dobrushin-Lanford-Ruelle (DLR) equation. In this article, we consider this concept in the framework of nonlinear Hamiltonian PDEs and discuss its relevance. In particular, we prove that Gibbs measures are the unique KMS equilibrium states for such systems. Our proof is based on Malliavin calculus and Gross-Sobolev spaces. The main feature of our work is the applicability of our results to the general context of white noise, abstract Wiener spaces and Gaussian probability spaces, as well as to fundamental examples of PDEs like the nonlinear Schrodinger, Hartree, and wave (Klein-Gordon) equations. \\ ( https://arxiv.org/abs/2102.12202 , 49kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12272 (*cross-listing*) Date: Wed, 24 Feb 2021 13:17:55 GMT (29kb) Title: Quantum phase transitions mediated by clustered non-Hermitian degeneracies Authors: Miloslav Znojil Categories: quant-ph math-ph math.MP Comments: 26 pages, supersedes unpublished arXiv:2010.15014 \\ A broad family of phase transitions in the closed as well as open quantum systems is known to be mediated by a non-Hermitian degeneracy (a.k.a. exceptional point, EP) of the Hamiltonian. In the EP limit, in general, the merger of an $N-$plet of the energy eigenvalues is accompanied by a parallel (though not necessarily complete) degeneracy of eigenstates (forming an EP-asociated $K-$plet; in mathematics, $K$ is called the geometric multiplicity of the EP). In the literature, unfortunately, only the benchmark matrix models with $K=1$ can be found. In our paper the gap is filled: the EP-mediated quantum phase transitions with $K>1$ are called "clustered", and a family of benchmark models admitting such a clustering phenomenon is proposed and described. For the sake of maximal simplicity our attention is restricted to the real perturbed-harmonic-oscillator-type N by N matrix Hamiltonians which are exactly solvable and in which the perturbation is multiparametric (i.e., maximally variable) and antisymmetric (i.e., maximally non-Hermitian). A labeling (i.e., an exhaustive classification) of these models is provided by a specific partitioning of N. \\ ( https://arxiv.org/abs/2102.12272 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:2102.12435 (*cross-listing*) Date: Wed, 24 Feb 2021 17:57:44 GMT (293kb,D) Title: $T\overline{T}$ Deformations of nonrelativistic models Authors: Sergey Frolov, Chantelle Esper Categories: hep-th math-ph math.MP nlin.SI physics.flu-dyn physics.optics Comments: 34 pages, many figures Report-no: TCDMATH 21-03 \\ The light-cone gauge approach to $T\overline{T}$ deformed models is used to derive the $T\overline{T}$ deformed matrix nonlinear Schr\"odinger equation, the Landau--Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions of the $T\overline{T}$ deformed nonlinear Schr\"odinger and Korteweg--de Vries equations are discussed in detail. The NLS soliton exhibits the recently discussed phenomenon of widening/narrowing width of particles under the $T\overline{T}$ deformation. However, whether the soliton's size is increasing or decreasing depends not only on the sign of the deformation parameter but also on soliton and potential parameters. The $T\overline{T}$ deformed KdV equation admits a one-parameter family of one-soliton solutions in addition to the usual velocity parameter. The extra parameter modifies the properties of the soliton, in particular, it appears in the dispersion relation. \\ ( https://arxiv.org/abs/2102.12435 , 293kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1511.07866 (*cross-listing*) replaced with revised version Tue, 23 Feb 2021 21:32:34 GMT (1236kb,D) Title: Warmth and connectivity of neighborhood complexes of graphs Authors: Anton Dochtermann and Ragnar Freij-Hollanti Categories: math.CO math-ph math.AT math.MP Comments: 17 pages, 4 figures; V2: corrections and revisions, incorporating feedback from referees MSC-class: 05C15, 55Q05, 82B20 Journal-ref: Adv. Appl. Math. 96 (2018), pp. 176-194 \\ ( https://arxiv.org/abs/1511.07866 , 1236kb) ------------------------------------------------------------------------------ \\ arXiv:1810.12716 replaced with revised version Wed, 24 Feb 2021 05:44:09 GMT (35kb) Title: On renormalized Hamiltonian nets Authors: Tadahiro Miyao Categories: math-ph math.MP Comments: 34 pages, minor revision \\ ( https://arxiv.org/abs/1810.12716 , 35kb) ------------------------------------------------------------------------------ \\ arXiv:1905.03539 replaced with revised version Wed, 24 Feb 2021 11:21:12 GMT (40kb) Title: Stationary scattering theory for one-body Stark operators, I Authors: T. Adachi, K. Itakura, K. Ito, E. Skibsted Categories: math-ph math.MP \\ ( https://arxiv.org/abs/1905.03539 , 40kb) ------------------------------------------------------------------------------ \\ arXiv:1911.00803 replaced with revised version Wed, 24 Feb 2021 10:20:56 GMT (58kb) Title: Quantum optimal transport with quantum channels Authors: Giacomo De Palma and Dario Trevisan Categories: math-ph math.FA math.MP math.PR quant-ph \\ ( https://arxiv.org/abs/1911.00803 , 58kb) ------------------------------------------------------------------------------ \\ arXiv:1911.07836 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 13:56:11 GMT (54kb) Title: Anomalous Thermodynamics in Homogenized Generalized Langevin Systems Authors: Soon Hoe Lim Categories: math.PR cond-mat.stat-mech math-ph math.MP Comments: 41 pages, to appear in Journal of Physics A: Mathematical and Theoretical \\ ( https://arxiv.org/abs/1911.07836 , 54kb) ------------------------------------------------------------------------------ \\ arXiv:1912.07482 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 15:35:19 GMT (2145kb,D) Title: Left-right crossings in the Miller-Abrahams random resistor network and in generalized Boolean models Authors: Alessandra Faggionato, Hlafo Alfie Mimun Categories: math.PR math-ph math.MP Comments: 49 pages,11 figures. Discussed additional examples of Poisson generalized $h$-Boolean models MSC-class: 60G55, 82B43, 82D30 \\ ( https://arxiv.org/abs/1912.07482 , 2145kb) ------------------------------------------------------------------------------ \\ arXiv:2001.07888 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 16:20:49 GMT (56kb) Title: Factorization algebras and abelian CS/WZW-type correspondences Authors: Owen Gwilliam and Eugene Rabinovich and Brian R. Williams Categories: math.QA hep-th math-ph math.AT math.MP Comments: Small changes to version submitted for publication MSC-class: 81T20, 18G10, 81T70 \\ ( https://arxiv.org/abs/2001.07888 , 56kb) ------------------------------------------------------------------------------ \\ arXiv:2002.06338 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 12:35:10 GMT (33kb,D) Title: Contact geometry and quantum thermodynamics of nanoscale steady states Authors: Aritra Ghosh, Malay Bandyopadhyay and Chandrasekhar Bhamidipati Categories: cond-mat.stat-mech math-ph math.MP Comments: v2: Submitted to journal \\ ( https://arxiv.org/abs/2002.06338 , 33kb) ------------------------------------------------------------------------------ \\ arXiv:2003.13456 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 18:33:17 GMT (3263kb,D) Title: The Geometry of Isochrone Orbits: from Archimedes' parabolae to Kepler's third law Authors: Paul Ramond and J\'er\^ome Perez Categories: physics.class-ph astro-ph.GA math-ph math.MP Comments: 54 pages, 18 figures Journal-ref: Cel. Mech. Dyn. Astro. 132 (2020): 22 DOI: 10.1007/s10569-020-09960-w \\ ( https://arxiv.org/abs/2003.13456 , 3263kb) ------------------------------------------------------------------------------ \\ arXiv:2005.13533 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 17:51:57 GMT (69kb) Title: Inhomogeneous Circular Law for Correlated Matrices Authors: Johannes Alt, Torben Kr\"uger Categories: math.PR math-ph math.FA math.MP math.OA Comments: 51 pages. In the this version, we relaxed the regularity assumption on the test function f in the local law, Theorem 2.7. Moreover, we expanded the union bound argument in the proof of Corollary 2.8 and corrected some typos and formulations throughout the paper MSC-class: 60B20, 15B52, 46Txx \\ ( https://arxiv.org/abs/2005.13533 , 69kb) ------------------------------------------------------------------------------ \\ arXiv:2006.08233 replaced with revised version Wed, 24 Feb 2021 12:19:41 GMT (99kb) Title: Groundstate finite-size corrections and dilogarithm identities for the twisted $A_1^{(1)}$, $A_2^{(1)}$ and $A_2^{(2)}$ models Authors: Alexi Morin-Duchesne, Andreas Kl\"umper, Paul A. Pearce Categories: math-ph cond-mat.stat-mech hep-th math.MP Comments: version 2: 81 pages. Error in section 4.4 fixed \\ ( https://arxiv.org/abs/2006.08233 , 99kb) ------------------------------------------------------------------------------ \\ arXiv:2009.04760 (*cross-listing*) replaced with revised version Tue, 23 Feb 2021 21:49:05 GMT (30kb) Title: On a distinguished family of random variables and Painlev\'e equations Authors: Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes and Arun Soor Categories: math.PR math-ph math.MP Comments: Improvements in exposition and a number of references added. To appear PMP \\ ( https://arxiv.org/abs/2009.04760 , 30kb) ------------------------------------------------------------------------------ \\ arXiv:2011.02746 replaced with revised version Wed, 24 Feb 2021 03:40:33 GMT (26kb) Title: Exact solutions of the $C_n$ quantum spin chain Authors: Guang-Liang Li, Panpan Xue, Pei Sun, Hulin Yang, Xiaotian Xu, Junpeng Cao, Tao Yang and Wen-Li Yang Categories: math-ph cond-mat.stat-mech hep-th math.MP Journal-ref: Nuclear Physics B 965 (2021), 115333 DOI: 10.1016/j.nuclphysb.2021.115333 \\ ( https://arxiv.org/abs/2011.02746 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:2012.00044 (*cross-listing*) replaced with revised version Wed, 24 Feb 2021 02:51:10 GMT (371kb) Title: Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium Authors: J.C.del Valle, A.V. Turbiner, Adrian M Escobar Ruiz Categories: quant-ph astro-ph.HE math-ph math.MP physics.atom-ph Comments: 49 pages, 7 tables, 5 figures, 3 appendices; typos corrected, several clarifying sentences added, presentation reorganized, to be published in Phys Rev A \\ ( https://arxiv.org/abs/2012.00044 , 371kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arxiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arxiv.org/help/