Exchangeable, Gibbs and equilibrium measures for Markov subshifts
Probability
2010-06-01 v4 Dynamical Systems
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.
Cite
@article{arxiv.math/0505011,
title = {Exchangeable, Gibbs and equilibrium measures for Markov subshifts},
author = {Jon. Aaronson and Hitoshi Nakada},
journal= {arXiv preprint arXiv:math/0505011},
year = {2010}
}
Comments
corollary 2.1 added