Abstract
AbstractWe give a complete characterization of the compact metric dynamical systems that appear as boundaries of the canonical compactification of a locally compact countable state mixing Markov shift. Consider such a compact metric dynamical system. Then there is a pair of non-conjugate Markov shifts with conjugate canonical compactifications, one of which has the given compact system as canonical boundary.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference13 articles.
1. On the algebraic properties of the automorphism groups of countable-state Markov shifts
2. Topological entropy of enumerable Markov chains;Gurevic;Dokl. Akad. Nauk SSSR,1969
3. Almost isomorphism for countable state Markov shifts;Boyle;J. Reine Angew. Math.,2006
4. On the automorphism groups of subshifts;Kim;Pure Math. Appl. Ser. B,1991
5. The automorphism group of a shift of finite type
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献