paper

Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems

arXiv:0903.3692

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.

10 pages, 1 figure

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Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems · wovepaper