Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Factor theorems for locally compact Markov shifts II

Factor theorems for locally compact Markov shifts II 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Factor theorems for locally compact Markov shifts II

Forum Mathematicum , Volume 18 (2) – Mar 21, 2006

Loading next page...
 
/lp/de-gruyter/factor-theorems-for-locally-compact-markov-shifts-ii-umayqjyPqL

References (14)

Publisher
de Gruyter
Copyright
© Walter de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2006.019
Publisher site
See Article on Publisher Site

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.

Journal

Forum Mathematicumde Gruyter

Published: Mar 21, 2006

There are no references for this article.