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

Fingerprint

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.
@article{3303f5a881c54374958680194401b871,
title = "Exchangeable, Gibbs and equilibrium measures for Markov subshifts",
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.",
author = "J. Aaronson and H. Nakada",
year = "2007",
month = "4",
doi = "10.1017/S0143385706000575",
language = "English",
volume = "27",
pages = "321--339",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
number = "2",

}

TY - JOUR

T1 - Exchangeable, Gibbs and equilibrium measures for Markov subshifts

AU - Aaronson, J.

AU - Nakada, H.

PY - 2007/4

Y1 - 2007/4

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33947198756&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947198756&partnerID=8YFLogxK

U2 - 10.1017/S0143385706000575

DO - 10.1017/S0143385706000575

M3 - Article

VL - 27

SP - 321

EP - 339

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 2

ER -

Access to Document