Abstract
ABSTRACT We examine the uniqueness of equilibrium states for the natural extension of a topologically exact, non-uniformly expanding, local homeomorphism with a Hölder continuous potential function. We do this by applying general techniques developed by Climenhaga and Thompson, and show there is a natural condition on the decompositions which guarantees a unique equilibrium state exists. We then show how to apply these results to certain partially hyperbolic attractors.
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