Equilibrium States for Non-uniformly expanding maps

Abstract

We construct equilibrium states, including measures of maximal entropy, for a large (open) class of non-uniformly expanding maps on compact manifolds. Moreover, we study uniqueness of these equilibrium states, as well as some of their ergodic properties.

18 pages

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• Unique equilibrium states for Viana maps with small potentials
• On computability of equilibrium states