Tail entropy and hyperbolicity of measures

DOI10.1007/S13348-018-0233-YzbMath1418.37012OpenAlexW2895973918MaRDI QIDQ2311339

Yanyan Li

Publication date: 10 July 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-018-0233-y

zbMATH Keywords

hyperbolicityupper semi-continuitytail entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• The entropy conjecture for diffeomorphisms away from tangencies
• Entropy structure
• Volume growth and entropy
• Continuity properties of entropy
• Intrinsic ergodicity of smooth interval maps
• Asymptotich-expansiveness rate ofC^∞maps
• A direct proof of the tail variational principle and its extension to maps
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Entropy-Expansive Maps
• Invariant manifolds

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