Almost isomorphism for countable state Markov shifts

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dc.creatorBoyle, Mike M.
dc.creatorBuzzi, Jerome
dc.creatorGomez, Ricardo
dc.date2004-05-09
dc.date.accessioned2026-07-07T05:08:03Z
dc.date.available2026-07-07T05:08:03Z
dc.descriptionCountable 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.
dc.identifierhttps://arxiv.org/abs/math/0405154
dc.identifierhttp://arxiv.org/abs/math/0405154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71110
dc.subjectDynamical Systems
dc.subject37B10; 37B40; 37C99; 37D35
dc.titleAlmost isomorphism for countable state Markov shifts
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