Equilibrium States for Mañé Diffeomorphisms
نویسنده
چکیده
We study thermodynamic formalism for the family of robustly transitive diffeomorphisms introduced by Mañé, establishing existence and uniqueness of equilibrium states for natural classes of potential functions. In particular, we characterize the SRB measures for these diffeomorphisms as unique equilibrium states for a suitable geometric potential. We also obtain large deviations and multifractal results for the unique equilibrium states produced by the main theorem.
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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