Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps

JÉRÔME BUZZI; OMRI SARIG

doi:10.1017/S0143385703000087

Abstract

We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure. We apply this to multidimensional piecewise expanding maps using their Markov diagrams.

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Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps

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