Dimension of hyperbolic measures of random diffeomorphisms

DOI10.1090/S0002-9947-06-03933-XzbMath1090.37039MaRDI QIDQ5469949

Jian-Sheng Xie, Pei-Dong Liu

Publication date: 29 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

random dynamical systemshyperbolic measureEckmann-Ruelle conjecture

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Dimension theory of smooth dynamical systems (37C45)

Related Items (7)

Measure rigidity for random dynamics on surfaces and related skew products ⋮ Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems ⋮ A new entropy formula of Ledrappier–Young type for linear toral dynamics ⋮ Dimension theory for invariant measures of endomorphisms ⋮ The relation of dimension, entropy and Lyapunov exponent in random case ⋮ Stability of Hausdorff dimension of Axiom A attractors under random perturbations ⋮ Entropy inequalities for semigroup actions

Cites Work

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• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Characterization of measures satisfying the Pesin entropy formula for random dynamical systems
• Random perturbations of Axiom A basic sets
• Dimension and product structure of hyperbolic measures
• Smooth ergodic theory of random dynamical systems
• Dynamics of random transformations: smooth ergodic theory
• Entropy formula for random dynamical systems: relations between entropy, exponents and dimension
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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