Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds

DOI10.3934/jmd.2018013zbMath1407.37013arXiv1609.06494OpenAlexW2963100334MaRDI QIDQ1717641

Snir Ben Ovadia

Publication date: 8 February 2019

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06494

zbMATH Keywords

Lyapunov exponentssymbolic dynamicshyperbolic diffeomorphismsMarkov partitionnonuniformly hyperbolic

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (15)

Escape of entropy for countable Markov shifts ⋮ Symbolic dynamics for one dimensional maps with nonuniform expansion ⋮ Invariant family of leaf measures and the Ledrappier–Young property for hyperbolic equilibrium states ⋮ Summable orbits ⋮ Symbolic dynamics for Anosov families ⋮ Hyperbolic Lyapunov–Perron regular points and smooth invariant measures ⋮ An invitation to \(SL_2(\mathbb{R})\) cocycles over random dynamics ⋮ Thermodynamic formalism for transient potential functions ⋮ The degree of Bowen factors and injective codings of diffeomorphisms ⋮ The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms ⋮ Hyperbolic SRB measures and the leaf condition ⋮ Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems ⋮ Measures of maximal entropy for surface diffeomorphisms ⋮ Symbolic dynamics for non-uniformly hyperbolic systems ⋮ SRB measures and Young towers for surface diffeomorphisms

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