Journal of Modern Dynamics (JMD)

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

Pages: 1 - 14, Issue 1, March 2014      doi:10.3934/jmd.2014.8.1

       Abstract        References        Full Text (180.7K)       Related Articles       

Yakov Pesin - Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA 16802, United States (email)

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.

Keywords:  Brin prize, Sarig.
Mathematics Subject Classification:  37D40, 37D25, 37D40.

Available Online: July 2014.