Exchangeable, Gibbs and equilibrium measures for Markov subshifts

• Autores: Jon Aaronson, Hitoshi Nakada
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 2, 2007, págs. 321-339
• Idioma: inglés
• DOI: 10.1017/s0143385706000575
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• Resumen

  • 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.