Geodesic
Borel isomorphism of SPR Markov shifts
Mike Boyle1 ; Jérôme Buzzi2 ; Ricardo Gómez3
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
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 127-136.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm137-1-9
Keywords: strongly positively recurrent markov shifts including shifts finite type classified borel conjugacy their entropy period their numbers periodic points

Mike Boyle 1 ; Jérôme Buzzi 2 ; Ricardo Gómez 3

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 
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Mike Boyle; Jérôme Buzzi; Ricardo Gómez. Borel isomorphism of SPR Markov shifts. Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 127-136. doi : 10.4064/cm137-1-9. http://geodesic.mathdoc.fr/articles/10.4064/cm137-1-9/

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