Exchangeable, Gibbs and equilibrium measures for Markov subshifts

J. Aaronson*, H. Nakada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number2
StatePublished - Apr 2007


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