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Bernoullicity of equilibrium measures on countable Markov shifts

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  • We study equilibrium behavior for two-sided topological Markov shifts with a countable number of states. We assume the associated potential is Walters with finite first variation and that the shift is topologically transitive. We show the resulting equilibrium measure is Bernoulli up to a period.
    Mathematics Subject Classification: Primary: 37C40, 37C45; Secondary: 37D25.

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