Diffeomorphisms Hölder conjugate to Anosov diffeomorphisms

DOI10.1017/S0143385709000169zbMath1185.37040arXiv0809.0529MaRDI QIDQ3558034

Andrey Gogolev

Publication date: 29 April 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0529

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (13)

On the work of Rodriguez Hertz on rigidity in dynamics ⋮ Eigenvalue gaps for hyperbolic groups and semigroups ⋮ New criteria for hyperbolicity based on periodic sets ⋮ Topological and geometric hyperbolicity criteria for polynomial automorphisms of ⋮ Hölder shadowing on finite intervals ⋮ Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property ⋮ Correlation of the renormalized Hilbert length for convex projective surfaces ⋮ Global rigidity of higher rank abelian Anosov algebraic actions ⋮ Transitively-saturated property, Banach recurrence and Lyapunov regularity ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Global rigidity of higher rank Anosov actions on tori and nilmanifolds ⋮ Characterization of uniform hyperbolicity for fibre-bunched cocycles ⋮ A remark on the invertibility of semi-invertible cocycles

Cites Work

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• Lyapunov functions and topological stability
• Bernoulli diffeomorphisms on surfaces
• First homoclinic tangencies in the boundary of Anosov diffeomorphisms
• Anosov diffeomorphisms are topologically stable
• Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
• Cubic tangencies and hyperbolic diffeomorphisms
• A heteroclinic bifurcation of Anosov diffeomorphisms

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