most recent 30 from http://mathoverflow.net 2013-05-20T08:31:16Z http://mathoverflow.net/feeds/user/16005 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/63568/subshifts-with-the-same-entropy/68819#68819 Marcelo 2011-06-26T00:19:32Z 2011-06-26T00:19:32Z

<p>The main theorem in Adler, Roy L.; Marcus, Brian</p> <p>"Topological entropy and equivalence of dynamical systems"</p> <p>doesn't use the fact that the entropy is log of a natural number. However it states that two ergodically supported topological Markov shifts are almost topologically conjugated if and only if them have the same topological entropy and the same ergodic period.</p> <p>There is a work of Wenxiang Sun which extends this result for general expansive, ergodically supprted maps that have the shadowing property:</p> <p><a href="http://iopscience.iop.org/0951-7715/13/3/309" rel="nofollow">http://iopscience.iop.org/0951-7715/13/3/309</a> </p>