On the uniform hyperbolicity of some nonuniformly hyperbolic systems

DOI10.1090/S0002-9939-02-06857-0zbMath1014.37018arXivmath/0111110OpenAlexW2166967384MaRDI QIDQ4787519

José F. Alves, Vítor Araújo, Benoît Saussol

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111110

zbMATH Keywords

nonuniformly expanding mapuniformly expanding map

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Cites Work

• Quadratic maps without asymptotic measure
• The thermodynamic formalism for expanding maps
• General random perturbations of hyperbolic and expanding transformations
• SRB measures for partially hyperbolic systems whose central direction is mostly expanding
• Pathological foliations and removable zero exponents
• Equilibrium states for S-unimodal maps
• On invariant measures for expanding differentiable mappings
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