Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems

Details Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems

2009-03-21

arxiv.org/abs/0903.3692v3

Mathematics

Dynamical Systems

10 pages, 1 figure

Scientific paper

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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