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

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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 - Mar 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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