UNIFORM LYAPUNOV EXPONENTS ARE REALISED BY ERGODIC INVARIANT MEASURES

DOI10.1142/S0219493701000072zbMath1064.37039MaRDI QIDQ4460416

Hans Crauel

Publication date: 18 May 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Random measures (60G57) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Some relations between dimension and Lyapunov exponents
• Hausdorff dimension of a random invariant set
• Local and global Lyapunov exponents
• Markov measures for random dynamical systems
• A Dynamical Proof of the Multiplicative Ergodic Theorem
• Ergodic theory of chaos and strange attractors

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