\(C^{1}\)-generic Pesin's entropy formula

DOI10.1016/S1631-073X(02)02609-2zbMath1014.37019MaRDI QIDQ1565930

Ali Tahzibi

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

volume preserving diffeomorphisms\(C^1\)-generic diffeomorphisminvariant smooth measure

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

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• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Genericity of zero Lyapunov exponents

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