Nonabsolutely continuous foliations for an Anosov diffeomorphism

DOI10.1007/BF01390119zbMath0442.58022OpenAlexW2080381097MaRDI QIDQ1143694

Clark Robinson, Lai-Sang Young

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142756

zbMATH Keywords

absolutely continuous foliationsinvariant horseshoe of positive Lebesgue measurestable and unstable foliations of Anosov diffeomorphism on a two-manifold

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (12)

A \(C^1\) Anosov diffeomorphism with a horseshoe that attracts almost any point ⋮ Weak measure expansiveness for partially hyperbolic diffeomorphisms ⋮ Asymptotic measure expansive diffeomorphisms ⋮ Existence and uniqueness of SRB measure on \(C^1\) generic hyperbolic attractors ⋮ A relation between entropy and transitivity of Anosov diffeomorphisms ⋮ Empirical measures of partially hyperbolic attractors ⋮ Perturbations of foliated bundles and evolutionary equations ⋮ Weak pseudo-physical measures and Pesin’s entropy formula for Anosov 𝐶¹-diffeomorphisms. ⋮ Anosov diffeomorphism with a horseshoe that attracts almost any point ⋮ Stable ergodicity ⋮ On measure expansive diffeomorphisms ⋮ Sinai–Ruelle–Bowen measures for N-dimensional derived from Anosov diffeomorphisms

Cites Work

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• A horseshoe with positive measure
• Ergodicity of Anosov actions
• Measure-Based Values of Market Games
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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