Exchangeable, Gibbs and equilibrium measures for Markov subshifts

J. Aaronson, H. 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.

Original languageEnglish
Pages (from-to)321-339
Number of pages19
JournalErgodic Theory and Dynamical Systems
Volume27
Issue number2
DOIs
Publication statusPublished - 2007 Apr 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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