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A simple proof of the Franks–Newhouse theorem on codimension-one Anosov diffeomorphisms

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Publication:2730712
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DOI10.1017/S0143385701001390zbMath1038.37024OpenAlexW2051038388MaRDI QIDQ2730712

Koichi Hiraide

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1017/s0143385701001390



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 (7)

On structurally stable diffeomorphisms with codimension one expanding attractors ⋮ Loop space and codimension one Anosov diffeomorphisms ⋮ Global rigidity of higher rank lattice actions with dominated splitting ⋮ Codimension one compact center foliations are uniformly compact ⋮ Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds ⋮ On surface attractors and repellers in 3-manifolds ⋮ There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus




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