What mathematical billiards teach us about statistical physics?

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.

50 pages, 3 figures, to appear in Pure and Applied Functional Analysis

References in corpus (2)

• Heat conduction and Fourier's law by consecutive local mixing and thermalization
• Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation