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arXiv · 2112.00175

Entropy of irregular points for some dynamical systems

Katrin Gelfert·Maria Jose Pacifico·Diego Sanhueza
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Abstract

We derive sufficient conditions for a dynamical systems to have a set of irregular points with full topological entropy. Such conditions are verified for some nonuniformly hyperbolic systems such as positive entropy surface diffeomorphisms and rational functions on the Riemann sphere.

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Katrin Gelfert, Maria Jose Pacifico, Diego Sanhueza. 2021-11-30. Entropy of irregular points for some dynamical systems. https://doi.org/10.1007/s10955-022-02973-9

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