The information topology and true laminations for diffeomorphisms

DOI10.1090/S1088-4173-04-00107-9zbMath1075.37006OpenAlexW1524491194MaRDI QIDQ4827382

Meiyu Su

Publication date: 16 November 2004

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-04-00107-9

zbMATH Keywords

Riemannian manifoldlaminationsstable and unstable manifoldsPesin boxesinformation topology\(C^{1+ \alpha}\)-diffeomorphism

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
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