A \(C^1\) Anosov diffeomorphism with a horseshoe that attracts almost any point

DOI10.1007/s10688-017-0176-1zbMath1377.37047arXiv1802.03977OpenAlexW2964225732MaRDI QIDQ1676342

Christian Bonatti, I. S. Shilin, A. V. Okunev, Stanislav S. Minkov

Publication date: 6 November 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03977

zbMATH Keywords

Anosov diffeomorphism\(C^1\)-topologyphysical measurethick horseshoe

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Empirical measures of partially hyperbolic attractors

Cites Work

• On the concept of attractor
• Nonabsolutely continuous foliations for an Anosov diffeomorphism
• A horseshoe with positive measure
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Special ergodic theorems and dynamical large deviations

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