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arXiv · 0903.3692

Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems

Jerome Buzzi·Todd Fisher
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Abstract

We show that a class of robustly transitive diffeomorphisms originally described by Mañé are intrinsically ergodic. More precisely we obtain an open set of diffeomorphisms which fail to be uniformly hyperbolic, but nevertheless have constant entropy and isomorphic unique measures of maximal entropy.

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Jerome Buzzi, Todd Fisher. 2009-04-11. Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems. https://arxiv.org/abs/0903.3692

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