Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-07-07T10:12:23.906Z Has data issue: false hasContentIssue false
  • English
  • Français

Exchangeable, Gibbs and equilibrium measures for Markov subshifts

Published online by Cambridge University Press:  12 February 2007

J. AARONSON  and
H. NAKADA
J. AARONSON
Affiliation:
School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel (e-mail: aaro@tau.ac.il)
H. NAKADA
Affiliation:
Department of Mathematics, Keio University, Hiyoshi 3-14-1 Kohoku, Yokohama 223, Japan (e-mail: nakada@math.keio.ac.jp)
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 2 , April 2007 , pp. 321 - 339
Copyright
2007 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)