Exchangeable, Gibbs and equilibrium measures for Markov subshifts

J. Aaronson, H. Nakada

Research output: Contribution to journal › Article

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)321-339
Number of pages19
JournalErgodic Theory and Dynamical Systems
Volume27
Issue number2
DOIs
Publication statusPublished - 2007 Apr

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Exchangeability
Equilibrium Measure
Subshift
Gibbs Measure
Spectral Properties
Bernoulli
Class

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Exchangeable, Gibbs and equilibrium measures for Markov subshifts. / Aaronson, J.; Nakada, H.

In: Ergodic Theory and Dynamical Systems, Vol. 27, No. 2, 04.2007, p. 321-339.

Research output: Contribution to journal › Article

Aaronson, J & Nakada, H 2007, 'Exchangeable, Gibbs and equilibrium measures for Markov subshifts', Ergodic Theory and Dynamical Systems, vol. 27, no. 2, pp. 321-339. https://doi.org/10.1017/S0143385706000575
Aaronson J, Nakada H. Exchangeable, Gibbs and equilibrium measures for Markov subshifts. Ergodic Theory and Dynamical Systems. 2007 Apr;27(2):321-339. https://doi.org/10.1017/S0143385706000575
Aaronson, J. ; Nakada, H. / Exchangeable, Gibbs and equilibrium measures for Markov subshifts. In: Ergodic Theory and Dynamical Systems. 2007 ; Vol. 27, No. 2. pp. 321-339.
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