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Exchangeable, Gibbs and equilibrium measures for Markov subshifts

Jon. Aaronson·Hitoshi Nakada
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Abstract

We study a class of strongly irreducible, multidimensional, topological Markov shifts, comparing two notions of "symmetric measure": exchangeability and the Gibbs (or conformal) property. We show that equilibrium measures for such shifts (unique and weak Bernoulli in the one dimensional case) exhibit a variety of spectral properties.

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Jon. Aaronson, Hitoshi Nakada. 2006-06-05. Exchangeable, Gibbs and equilibrium measures for Markov subshifts. https://arxiv.org/abs/math/0505011

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