Aleksey Kostenko
Aleksey Kostenko
For the discrete Laguerre operators we compute explicitly the corresponding heat kernels by expressing them with the help of Jacobi polynomials. This enables us to show that the heat semigroup is ultracontractive and to compute the correspo...
Marcin Napiórkowski,Robert Seiringer
Marcin Napiórkowski
We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S ≥ 1 / 2 . We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bo...
Poncelet property and quasi-periodicity of the integrable Boltzmann system [0.03%]
波茨曼可积系统的彭塞莱性质和准周期性
Giovanni Felder
Giovanni Felder
We study the motion of a particle in a plane subject to an attractive central force with inverse-square law on one side of a wall at which it is reflected elastically. This model is a special case of a class of systems considered by Boltzma...
Graham Denham,Mathias Schulze,Uli Walther
Graham Denham
Consider a linear realization of a matroid over a field. One associates with it a configuration polynomial and a symmetric bilinear form with linear homogeneous coefficients. The corresponding configuration hypersurface and its non-smooth l...
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function [0.03%]
Virasoro融合核与Ruijsenaars的超几何函数
Julien Roussillon
Julien Roussillon
We show that the Virasoro fusion kernel is equal to Ruijsenaars' hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint eigenfunction of four difference operators. We find a renormal...
Triviality of a model of particles with point interactions in the thermodynamic limit [0.03%]
热力学极限下具有点相互作用的粒子模型的平凡性
Thomas Moser,Robert Seiringer
Thomas Moser
We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectiv...
Gwendolyn E Barnes,Alexander Schenkel,Richard J Szabo
Gwendolyn E Barnes
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the 'internalized' automorphism group of a t...
Jock McOrist,Ilarion V Melnikov,Brian Wecht
Jock McOrist
We prove that N = 2 theories that arise by taking n free hypermultiplets and gauging a subgroup of Sp ( n ) , the non-R global symmetry of the free theory, have a remaining global symmetry, which is a direct sum of unitary, symplectic, an...
Non-singular space-times with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations [0.03%]
具有负宇宙学常数的非奇异时空（二）：爱因斯坦-麦克斯韦方程的静态解
Piotr T Chruściel,Erwann Delay
Piotr T Chruściel
We construct infinite-dimensional families of non-singular static space-times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with t...
The future is not always open [0.03%]
未来未必敞开着
James D E Grant,Michael Kunzinger,Clemens Sämann et al.
James D E Grant et al.
We demonstrate the breakdown of several fundamentals of Lorentzian causality theory in low regularity. Most notably, chronological futures (defined naturally using locally Lipschitz curves) may be non-open and may differ from the correspond...