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On the work of Sarig on countable Markov chains and thermodynamic formalism (Brin Prize article)

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  • The paper is a nontechnical survey and is aimed to illustrate Sarig'sprofound contributions to statistical physics and in particular,thermodynamic formalism for countable Markov shifts. I will discusssome of Sarig's work on characterization of existence of Gibbsmeasures, existence and uniqueness of equilibrium states as well asphase transitions for Markov shifts on a countable set of states.
    Mathematics Subject Classification: 37D40, 37D25, 37D40.


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