A relation between entropy and transitivity of Anosov diffeomorphisms

DOI10.1007/s10883-022-09620-2arXiv2203.08934OpenAlexW4221140977MaRDI QIDQ6186665

Fernando Micena, M. A. Rodriguez Hertz

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08934

zbMATH Keywords

Anosov diffeomorphismstransitivitytopological entropyunstable entropy

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Nonabsolutely continuous foliations for an Anosov diffeomorphism
• A horseshoe with positive measure
• The ergodic theory of axiom A flows
• Unstable entropies and variational principle for partially hyperbolic diffeomorphisms
• Some sufficient conditions for transitivity of Anosov diffeomorphisms
• Foundations of Ergodic Theory
• Non-zero Lyapunov exponents and uniform hyperbolicity
• Removing zero Lyapunov exponents
• On the uniform hyperbolicity of some nonuniformly hyperbolic systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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