Author:
CLIMENHAGA VAUGHN,FISHER TODD,THOMPSON DANIEL J.
Abstract
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 Sinaĭ–Ruelle–Bowen 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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