Almost isomorphism for countable state Markov shifts

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamical systems. In this paper, we investigate their almost isomorphism and entropy conjugacy and obtain a complete classification for the especially important class of strongly positive recurrent Markov shifts. This gives a complete classification up to entropy conjugacy of the natural extensions of smooth entropy expanding maps, including all smooth interval maps with non-zero topological entropy.

Keywords

Dynamical Systems, 37B10; 37B40; 37C99; 37D35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71110

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405154
 http://arxiv.org/abs/math/0405154

Collections

arXiv