Exchangeable, Gibbs and equilibrium measures for Markov subshifts
  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. 
Jon. Aaronson, Hitoshi Nakada