Hyperbolic Potentials for Continuous Non-Uniformly Expanding Maps

Published 6 Feb 2021 in math.DS | (2102.03666v1)

Abstract: In this work, we give a class of examples of hyperbolic potentials (including the null one) for continuous non-uniformly expanding maps. It implies the existence and uniqueness of equilibrium state (in particular, of maximal entropy measure). Among the maps considered is the important class known as Viana maps.

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Eduardo Santana

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