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Maximal Entropy Measures for Non-Accessible Topological Skew Products

Tahzibi, Ali ; Cubas, Richard

arXiv.org, 2024-04

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Título:
Maximal Entropy Measures for Non-Accessible Topological Skew Products
Autor: Tahzibi, Ali ; Cubas, Richard
Assuntos: Entropy ; Ergodic processes ; Isomorphism ; Mathematics - Dynamical Systems ; Topology
É parte de: arXiv.org, 2024-04
Descrição: In this paper we establish a dichotomy for the ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with one-dimensional compact center leaves which are virtually skew products over (transitive) Anosov homeomorphism. We prove that if the whole manifold is the unique minimal invariant set saturated by unstable foliation, then either there exists a unique measure of maximal entropy which is non-hyperbolic or there are exactly two hyperbolic ergodic measures of maximal entropy.
Editor: Ithaca: Cornell University Library, arXiv.org
Idioma: Inglês

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