2020/09/14 by Péter Bálint, Bálint, Péter, Thomas Gilbert +5 · 1 voice · 2 citations
Mathematics · Physics and Astronomy · #37A50 #37A60 #37D50 #Chaotic Dynamics (nlin.CD) #Classical mechanics #Classical physics #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Hamiltonian (control theory) #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Mathematical optimization #Mathematics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Theoretical physics #cond-mat.stat-mech #math.DS #msc:37A50 #msc:37A60 #msc:37D50 #nlin.CD
paper · pdf · doi:10.48550/arxiv.2009.06284
published in arXiv (Cornell University) (Cornell University) · 50 pages, 3 figures, to appear in Pure and Applied Functional Analysis
openalex publication_date 2020/09/14 · arxiv published 2020/09/14 · arxiv created 2020/10/01 · arxiv updated 2020/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.