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arXiv · 2005.09315

Ergodic optimization for some dynamical systems beyond uniform hyperbolicity

Dawei Yang·Jinhua Zhang
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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, $C^\infty$ surface diffeomorphisms and diffeomorphisms away from homoclinic tangencies.

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Dawei Yang, Jinhua Zhang. 2020-05-19. Ergodic optimization for some dynamical systems beyond uniform hyperbolicity. https://arxiv.org/abs/2005.09315

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