Abundance of stable ergodicity

DOI10.1007/s00014-004-0819-8zbMath1052.37023OpenAlexW2143041686MaRDI QIDQ1884666

Carlos Matheus, Amie Wilkinson, Marcelo Viana, Christian Bonatti

Publication date: 5 November 2004

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-004-0819-8

zbMATH Keywords

accessibilityLyapunov exponentsnonuniform hyperbolicitypartial hyperbolicitystable ergodicity

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (8)

\(C^r\)-prevalence of stable ergodicity for a class of partially hyperbolic systems ⋮ On the regularization of conservative maps ⋮ The ergodicity of a class of almost Anosov systems ⋮ Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence ⋮ \(C^1\) density of stable ergodicity ⋮ Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents ⋮ Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples ⋮ Stable ergodicity

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