Exchangeable, Gibbs and equilibrium measures for Markov subshifts

J. Aaronson; H. Nakada

doi:10.1017/S0143385706000575

Exchangeable, Gibbs and equilibrium measures for Markov subshifts

J. Aaronson, H. Nakada

Research output: Contribution to journal › Article › peer-review

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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 language	English
Pages (from-to)	321-339
Number of pages	19
Journal	Ergodic Theory and Dynamical Systems
Volume	27
Issue number	2
DOIs	https://doi.org/10.1017/S0143385706000575
Publication status	Published - 2007 Apr
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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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.",

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AB - 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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Exchangeable, Gibbs and equilibrium measures for Markov subshifts

Abstract

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