Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems
classification
🧮 math.DS
keywords
diffeomorphismsentropyrobustlytransitivecertainclassconstantdescribed
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We show that a class of robustly transitive diffeomorphisms originally described by Ma\~{n}\'{e} 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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