AC1closing lemma for nonuniformly partially hyperbolic diffeomorphisms of classC1+α

DOI10.1080/14689367.2015.1055320zbMath1357.37046OpenAlexW2211436568WikidataQ124880866 ScholiaQ124880866MaRDI QIDQ3462331

Shuhei Hayashi

Publication date: 5 January 2016

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

Full work available at URL: https://doi.org/10.1080/14689367.2015.1055320

zbMATH Keywords

stable manifoldunstable manifolddominated splittingsnonhyperbolic ergodic measures

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• An ergodic closing lemma
• An extension of the ergodic closing lemma
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