1Department of Mathematics University of Maryland College Park, MD 20742-4015, U.S.A. 2Laboratoire de Mathématiques d'Orsay (CNRS, UMR 8628) Université Paris-Sud 91405 Orsay Cedex, France 3Instituto de Matemáticas Universidad Nacional Autónoma de México Area de la Investigación Científica Circuito Exterior C. U. México D.F. 04510, Mexico
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 127-136
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.
Keywords:
strongly positively recurrent markov shifts including shifts finite type classified borel conjugacy their entropy period their numbers periodic points
1
Department of Mathematics University of Maryland College Park, MD 20742-4015, U.S.A.
2
Laboratoire de Mathématiques d'Orsay (CNRS, UMR 8628) Université Paris-Sud 91405 Orsay Cedex, France
3
Instituto de Matemáticas Universidad Nacional Autónoma de México Area de la Investigación Científica Circuito Exterior C. U. México D.F. 04510, Mexico
@article{10_4064_cm137_1_9,
author = {Mike Boyle and J\'er\^ome Buzzi and Ricardo G\'omez},
title = {Borel isomorphism of {SPR} {Markov} shifts},
journal = {Colloquium Mathematicum},
pages = {127--136},
year = {2014},
volume = {137},
number = {1},
doi = {10.4064/cm137-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm137-1-9/}
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TY - JOUR
AU - Mike Boyle
AU - Jérôme Buzzi
AU - Ricardo Gómez
TI - Borel isomorphism of SPR Markov shifts
JO - Colloquium Mathematicum
PY - 2014
SP - 127
EP - 136
VL - 137
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm137-1-9/
DO - 10.4064/cm137-1-9
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