On the work of Sarig on countable Markov chains and thermodynamic formalism

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The paper is a nontechnical survey and is aimed to illustrate Sarig's profound contributions to statistical physics and in particular, thermodynamic formalism for countable Markov shifts. I will discuss some of Sarig's work on characterization of existence of Gibbs measures, existence and uniqueness of equilibrium states as well as phase transitions for Markov shifts on a countable set of states.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalJournal of Modern Dynamics
Volume8
Issue number1
DOIs
StatePublished - Jan 1 2014

Fingerprint

Thermodynamic Formalism
Markov processes
Countable
Markov chain
Physics
Phase transitions
Thermodynamics
Gibbs Measure
Statistical Physics
State Transition
Equilibrium State
Existence and Uniqueness
Phase Transition

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Cite this

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On the work of Sarig on countable Markov chains and thermodynamic formalism. / Pesin, Yakov B.

In: Journal of Modern Dynamics, Vol. 8, No. 1, 01.01.2014, p. 1-14.

Research output: Contribution to journalArticle

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