Entropy of irregular points for some dynamical systems

Gelfert, Katrin; Pacifico, Maria Jose; Sanhueza, Diego

doi:10.48550/arxiv.2112.00175

2021

DOI: 10.48550/arxiv.2112.00175

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Entropy of irregular points for some dynamical systems

Katrin Gelfert,

Maria Jose Pacifico,

Diego Sanhueza

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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Entropy of irregular points for some dynamical systems

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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References 16 publications

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