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

By Jérôme Buzzi and Omri Sarig

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

Topics: QA
Publisher: Cambridge University Press
Year: 2003
OAI identifier: oai:wrap.warwick.ac.uk:771

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