Exchangeable, Gibbs and equilibrium measures for Markov subshifts

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.

corollary 2.1 added

References in corpus (2)

• Entropy-driven phase transition in a polydisperse hard-rods lattice system
• Exchangeable measures for subshifts