Entropy of irregular points for some dynamical systems
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Publication:6384467
DOI10.1007/S10955-022-02973-9arXiv2112.00175MaRDI QIDQ6384467
Diego Sanhueza, M. J. Pacifico, Katrin Gelfert
Publication date: 30 November 2021
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.
Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
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