Pesin's entropy formula for systems between \(C^1\) and \(C^{1+\alpha}\)

DOI10.1007/s10955-014-1065-0zbMath1336.37004OpenAlexW311415193MaRDI QIDQ478411

Xue Ting Tian

Publication date: 3 December 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-014-1065-0

zbMATH Keywords

Lyapunov exponentsmetric entropyPesin's entropy formularecurrent time

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) 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)

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Formula of entropy along unstable foliations for \(C^1\) diffeomorphisms with dominated splitting ⋮ Stretching generic Pesin's entropy formula ⋮ Lower bound in Pesin formula of C ¹ interval maps*

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