Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities

zbMath1444.37011arXiv1606.05863MaRDI QIDQ4642715

Yuri Lima, Carlos Matheus

Publication date: 25 May 2018

Full work available at URL: https://arxiv.org/abs/1606.05863

zbMATH Keywords

symbolic dynamicsbilliardMarkov partition

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (17)

Escape of entropy for countable Markov shifts ⋮ Symbolic dynamics for one dimensional maps with nonuniform expansion ⋮ Thermodynamic formalism for dispersing billiards ⋮ Summable orbits ⋮ Topological entropy and pressure for finite-horizon Sinai billiards ⋮ Lyapunov exponents and nonadapted measures for dispersing billiards ⋮ Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds ⋮ Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps ⋮ The degree of Bowen factors and injective codings of diffeomorphisms ⋮ The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms ⋮ Symbolic dynamics for three-dimensional flows with positive topological entropy ⋮ The space of invariant measures for countable Markov shifts ⋮ Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems ⋮ On the measure of maximal entropy for finite horizon Sinai Billiard maps ⋮ 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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