Entropy formula for random dynamical systems: relations between entropy, exponents and dimension

DOI10.1017/S0143385703000178zbMath1051.37006OpenAlexW2025142364MaRDI QIDQ4472773

Min Qian, Jian-Sheng Xie, Min-ping Qian

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1017/s0143385703000178

zbMATH Keywords

Riemannian manifoldLyapunov exponentrandom dynamical systementropy formula

Mathematics Subject Classification ID

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) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (6)

Measure rigidity for random dynamics on surfaces and related skew products ⋮ Smooth ergodic theory of \(\mathbb{Z}^d \)-actions ⋮ A note on two types of Lyapunov exponents and entropies for \(\mathbb{Z}^k\)-actions ⋮ Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems ⋮ A new entropy formula of Ledrappier–Young type for linear toral dynamics ⋮ Dimension of hyperbolic measures of random diffeomorphisms

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