Measures of intermediate entropies for skew product diffeomorphisms

DOI10.3934/DCDS.2010.27.1219zbMath1192.37036arXiv0906.1806OpenAlexW2055028349MaRDI QIDQ977938

Peng Sun

Publication date: 23 June 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1806

zbMATH Keywords

entropyhorseshoeLyapunov exponentsskew productreturn mapergodic measurePesin theory

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (12)

High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Unique ergodicity for zero-entropy dynamical systems with the approximate product property ⋮ Horseshoes for diffeomorphisms preserving hyperbolic measures ⋮ Density of metric entropies for linear toral automorphisms ⋮ Arcwise connectedness of the set of ergodic measures of hereditary shifts ⋮ Measures of intermediate entropies and homogeneous dynamics ⋮ Measures of intermediate entropies for star vector fields ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Equilibrium states of intermediate entropies ⋮ Zero-entropy dynamical systems with the gluing orbit property

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