Borel isomorphism of SPR Markov shifts

Mike Boyle, Jérôme Buzzi, and Ricardo Gómez. "Borel isomorphism of SPR Markov shifts." Colloquium Mathematicae 137.1 (2014): 127-136. <http://eudml.org/doc/284090>.

@article{MikeBoyle2014,
abstract = {We show that strongly positively recurrent Markov shifts (including shifts of finite type) are classified up to Borel conjugacy by their entropy, period and their numbers of periodic points.},
author = {Mike Boyle, Jérôme Buzzi, Ricardo Gómez},
journal = {Colloquium Mathematicae},
keywords = {entropy; Borel isomorphism; shift of finite type; countable state Markov shift; topological Markov chain; almost isomorphism. (1) in this paper; unless otherwise indicated; a measure is a Borel probability measure which is invariant under the dynamics},
language = {eng},
number = {1},
pages = {127-136},
title = {Borel isomorphism of SPR Markov shifts},
url = {http://eudml.org/doc/284090},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Mike Boyle
AU - Jérôme Buzzi
AU - Ricardo Gómez
TI - Borel isomorphism of SPR Markov shifts
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 1
SP - 127
EP - 136
AB - We show that strongly positively recurrent Markov shifts (including shifts of finite type) are classified up to Borel conjugacy by their entropy, period and their numbers of periodic points.
LA - eng
KW - entropy; Borel isomorphism; shift of finite type; countable state Markov shift; topological Markov chain; almost isomorphism. (1) in this paper; unless otherwise indicated; a measure is a Borel probability measure which is invariant under the dynamics
UR - http://eudml.org/doc/284090
ER -