Dynamics of random transformations: smooth ergodic theory

DOI10.1017/S0143385701001614zbMath1004.37036OpenAlexW2055200017MaRDI QIDQ2757005

Pei-Dong Liu

Publication date: 8 February 2003

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385701001614

zbMATH Keywords

entropypressureinvariant manifoldsinvariant measuresLyapunov exponentsdimensionthermodynamic formalismAxiom Aequilibrium statesSRB measuresGibbs statesstable manifoldsunstable manifoldssmooth ergodic theoryPesin formulaRuelle inequalityannealed equilibrium statesannealed topological pressurebundle RDSquenched equilibrium statesrandom correlation decayriational principle

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Random dynamical systems (37H99) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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