\(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions

DOI10.1007/s00222-011-0317-8zbMath1263.37065arXiv0912.2018OpenAlexW1982697023MaRDI QIDQ644768

David Burguet

Publication date: 7 November 2011

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2018

zbMATH Keywords

topological entropysurface diffeomorphismsymbolic extension

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (11)

Ergodic optimization for some dynamical systems beyond uniform hyperbolicity ⋮ A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms ⋮ Weak expansion properties and large deviation principles for expanding Thurston maps ⋮ Orders of accumulation of entropy on manifolds ⋮ Symbolic extensions and dominated splittings for generic \(C^1\)-diffeomorphisms ⋮ Symbolic dynamics for surface diffeomorphisms with positive entropy ⋮ Periodic points and measures for a class of skew-products ⋮ Symbolic extensions for 3-dimensional diffeomorphisms ⋮ The symbolic extension theory in topological dynamics ⋮ Symbolic dynamics for non-uniformly hyperbolic systems ⋮ Symbolic Extensions of Amenable Group Actions and the Comparison Property

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