Pressure and Equilibrium States in Ergodic Theory

Details Pressure and Equilibrium States in Ergodic Theory Pressure and Equilibrium States in Ergodic Theory

2008-04-16

arxiv.org/abs/0804.2562v1

Mathematics

Dynamical Systems

To appear in: "Encyclopedia of Complexity and System Science (Springer)" in the section "Ergodic Theory"; 26 pages

Scientific paper

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.

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