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D. Fiebig (2001)
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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.
Forum Mathematicum – de Gruyter
Published: Mar 21, 2006
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