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Resumen de Exchangeable, Gibbs and equilibrium measures for Markov subshifts

Jon Aaronson, Hitoshi Nakada

  • 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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