Ergodic measure-expansive diffeomorphisms

DOI10.1080/14689367.2014.952222zbMath1351.37115OpenAlexW2038870663MaRDI QIDQ2929526

Kazuhiro Sakai, Naoya Sumi, Kenichiro Yamamoto

Publication date: 12 November 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2014.952222

zbMATH Keywords

Lyapunov exponentsAxiom Atransitiveergodic measuredominated splittingspartially hyperbolicmeasure-expansive

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (2)

Weak measure expansive flows ⋮ Topological stability and pseudo-orbit tracing property for expansive measures

Cites Work

• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• Ergodic theory on compact spaces
• Contributions to the stability conjecture
• Measure-expansive diffeomorphisms

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