What mathematical billiards teach us about statistical physics?
Statistical Mechanics
2020-10-02 v2 Dynamical Systems
Chaotic Dynamics
Abstract
We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically rigorous derivations in the framework of classical Hamiltonian systems.
Cite
@article{arxiv.2009.06284,
title = {What mathematical billiards teach us about statistical physics?},
author = {Péter Bálint and Thomas Gilbert and Domokos Szász and Imre Péter Tóth},
journal= {arXiv preprint arXiv:2009.06284},
year = {2020}
}
Comments
50 pages, 3 figures, to appear in Pure and Applied Functional Analysis