GOOD POTENTIALS FOR ALMOST ISOMORPHISM OF COUNTABLE STATE MARKOV SHIFTS-Reference-Cited by-同舟云学术

GOOD POTENTIALS FOR ALMOST ISOMORPHISM OF COUNTABLE STATE MARKOV SHIFTS

Published:2007-03 Issue:01 Volume:07 Page:1-15
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

BOYLE MIKE¹,BUZZI JEROME²,GÓMEZ RICARDO³

Affiliation:

1. Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

2. Centre de Mathématiques, Ecole polytechnique, 91128 Palaiseau Cedex, France

3. Instituto de Matemáticas de La, Universidad Nacional Autónoma de México. Circuito Exterior, Ciudad Universitaria, DF 04510, México

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 [2]. In this paper, we establish a class of potentials on countable state Markov shifts whose thermodynamic formalism is respected by almost isomorphism.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493707001901

Reference23 articles.

1. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

2. Subshifts of quasi-finite type

3. Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps

4. Pressure and equilibrium states for countable state markov shifts

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