Entropy formula of Pesin type for noninvertible random dynamical systems

DOI10.1007/PL00004694zbMath0955.37028OpenAlexW1987464973MaRDI QIDQ1297989

Pei-Dong Liu

Publication date: 23 September 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004694

zbMATH Keywords

Lyapunov exponentsSRB measurefiber entropyMargulis-Ruelle inequality

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (9)

Filtering entropy ⋮ Metric entropy of nonautonomous dynamical systems ⋮ Pesin's entropy formula for systems between \(C^1\) and \(C^{1+\alpha}\) ⋮ Metric entropy of nonautonomous dynamical systems ⋮ Piecewise linear maps, Lyapunov exponents and entropy ⋮ Dimension theory for invariant measures of endomorphisms ⋮ Thermodynamic formalism for random non-uniformly expanding maps ⋮ Statistical stability of saddle-node arcs ⋮ Lower bound in Pesin formula of C ¹ interval maps*

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