Unique Equilibrium States for Bonatti–viana Diffeomorphisms
نویسنده
چکیده
We show that the robustly transitive diffeomorphisms constructed by Bonatti and Viana have unique equilibrium states for natural classes of potentials. In particular, we characterize the SRB measure as the unique equilibrium state for a suitable geometric potential. The techniques developed are applicable to a wide class of DA diffeomorphisms, and persist under C perturbations of the map. These results are an application of general machinery developed by the first and last named authors.
منابع مشابه
Unique Equilibrium States for the Robustly Transitive Diffeomorphisms of Mañé and Bonatti–viana
We show that the families of robustly transitive diffeomorphisms of Mañé and Bonatti–Viana have unique equilibrium states for natural classes of potentials. In particular, for any Hölder continuous potential on the phase space of one of these families, we construct a C-open neighborhood of a diffeomorphism in that family for which the potential has a unique equilibrium state. We also characteri...
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