Expansiveness, generators and Lyapunov exponents for random bundle transformations

DOI10.1016/J.JMAA.2024.128989MaRDI QIDQ6648779

Xiaojun Huang, Yu Liu

Publication date: 5 December 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

generatorhyperbolic metricLyapunov exponentexpansivenessbundle random dynamical system

Mathematics Subject Classification ID

Ergodic theory (37Axx) Dynamical systems with hyperbolic behavior (37Dxx) Measure-theoretic ergodic theory (28Dxx)

Cites Work

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• Convex analysis and measurable multifunctions
• Some relations between Hausdorff-dimensions and entropies
• Expansiveness, hyperbolicity and Hausdorff dimension
• Smooth ergodic theory of random dynamical systems
• Distance functions and the metrization problem.
• On the topological pressure for random bundle transformations.
• Characteristic exponents of dynamical systems in metric spaces
• Finitely presented dynamical systems
• Expansive Homeomorphisms and Topological Dimension
• The Hausdorff dimension of conformal repellers under random perturbation
• Lyapunov exponents for expansive homeomorphisms
• Topological Entropy
• Lifting expansive homeomorphisms to symbolic flows
• Generators for topological entropy and expansiveness
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Sur une propriété métrique de la dimension

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