Almost isomorphism for countable state Markov shifts
Almost isomorphism for countable state Markov shifts
复制标题
可数状态马尔可夫位移的几乎同构
DOI：
10.1515/crelle.2006.021
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
R. Gómez
中科院分区：
文献类型：
--
作者：
Mike Boyle;J. Buzzi;R. Gómez
Abstract 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, e.g., C ∞ smooth interval maps with non-zero topological entropy.
