Pressure and Equilibrium States in Ergodic Theory
Dynamical Systems
2020-07-16 v2 History and Overview
Abstract
Our goal is to present the basic results on one-dimensional Gibbs and equilibrium states viewed as special invariant measures on symbolic dynamical systems, and then to describe without technicalities a sample of results they allowed to obtain for certain differentiable dynamical systems. We hope that this contribution will illustrate the symbiotic relationship between ergodic theory and statistical mechanics, and also information theory.
Cite
@article{arxiv.0804.2562,
title = {Pressure and Equilibrium States in Ergodic Theory},
author = {J. -R. Chazottes and G. Keller},
journal= {arXiv preprint arXiv:0804.2562},
year = {2020}
}
Comments
There is a second edition of the "Encyclopedia of Complexity and System Science (Springer)" in preparation. We took the opportunity to complete the reference list which contained preprints which are now published articles