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Licensed Unlicensed Requires Authentication Published by De Gruyter May 17, 2006

Factor theorems for locally compact Markov shifts II

Doris Fiebig EMAIL logo and Mario Roy
From the journal

Abstract

Let S and T be locally compact transitive countable state Markov shifts. When is there a factor map from S onto T? In the compact setting a trivial periodic point condition and the topological entropy settle this question. For the non-compact case the behaviour of the Markov shifts at infinity plays a central role. To capture some of this we introduce a new entropy at infinity and use it to solve the factoring problem in several situations.


(Communicated by Michael Brin)

The second author was supported by the Fonds québécois pour la Formation de Chercheurs et l'Aide à la Recherche du Québec (FCAR).


Received: 2002-11-14
Accepted: 2003-03-06
Published Online: 2006-05-17
Published in Print: 2006-03-21

© Walter de Gruyter

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