Ergodic optimization for some dynamical systems beyond uniform hyperbolicity
Abstract
In this paper, we show that for several interesting systems beyond uniform hyperbolicity, any generic continuous function has a unique maximizing measure with zero entropy. In some cases, we also know that the maximizing measure has full support. These interesting systems including singular hyperbolic attractors, C∞ surface diffeomorphisms and diffeomorphisms away from homoclinic tangencies.
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