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Nonuniform center bunching and the genericity of ergodicity among $C^1$ partially hyperbolic symplectomorphisms

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Publication:3655572
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DOI10.24033/asens.2113zbMath1191.37017arXiv0812.1540OpenAlexW2102683324MaRDI QIDQ3655572

Jairo Bochi, Amie Wilkinson, Artur Avila

Publication date: 8 January 2010

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1540


zbMATH Keywords

ergodicitypartial hyperbolicitysymplectic diffeomorphismscenter bunching


Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Invariant manifold theory for dynamical systems (37D10)


Related Items

Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms ⋮ \(C^r\)-prevalence of stable ergodicity for a class of partially hyperbolic systems ⋮ On the regularization of conservative maps ⋮ Symplectomorphisms with positive metric entropy ⋮ \(C^1\) density of stable ergodicity ⋮ New criteria for ergodicity and nonuniform hyperbolicity ⋮ Diffeomorphisms with positive metric entropy ⋮ Denseness of ergodicity for a class of volume-preserving flows ⋮ TWO NOTES ABOUT THE ERGODICITY OF PARTIALLY HYPERBOLIC SYSTEMS ⋮ Hyperbolicity in the volume-preserving scenario



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