Good potentials for almost isomorphism of countable state Markov shifts
Dynamical Systems
2007-05-23 v1
Abstract
Almost isomorphism is an equivalence relation on countable state Markov shifts which provides a strong version of Borel conjugacy; still, for mixing SPR shifts, entropy is a complete invariant of almost isomorphism. In this paper, we establish a class of potentials on countable state Markov shifts whose thermodynamic formalism is respected by almost isomorphism.
Keywords
Cite
@article{arxiv.math/0510632,
title = {Good potentials for almost isomorphism of countable state Markov shifts},
author = {Jerome Buzzi and Mike M. Boyle and Ricardo Gomez},
journal= {arXiv preprint arXiv:math/0510632},
year = {2007}
}