Periodic expansiveness of smooth surface diffeomorphisms and applications

DOI10.4171/JEMS/925zbMath1437.37052arXiv1705.08832OpenAlexW2980670752MaRDI QIDQ2302430

David Burguet

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08832

zbMATH Keywords

entropysemi-algebraic geometryhyperbolic periodic pointssmooth surface dynamical systemsYomdin's theory

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Entropy and other invariants (28D20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Semialgebraic sets and related spaces (14P10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (10)

Statistical properties of periodic points for infinitely renormalizable unimodal maps ⋮ Entropy of physical measures for \(C^\infty\) dynamical systems ⋮ Embedding asymptotically expansive systems ⋮ Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits ⋮ Complexities of differentiable dynamical systems ⋮ The degree of Bowen factors and injective codings of diffeomorphisms ⋮ Uniqueness of the measure of maximal entropy for the standard map ⋮ Periodic points and measures for a class of skew-products ⋮ Properties of the maximal entropy measure and geometry of Hénon attractors ⋮ Measures of maximal entropy for surface diffeomorphisms

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