Lyapunov exponents for expansive homeomorphisms

DOI10.1017/S0013091519000579zbMath1458.37011arXiv1704.05284OpenAlexW2606865238MaRDI QIDQ4961137

José L. Vieitez, Maria Jose Pacifico

Publication date: 22 April 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05284

zbMATH Keywords

Lyapunov exponentsPeano spaceexpansive homeomorphismsadapted hyperbolic metric

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamics in general topological spaces (37B02)

Related Items (2)

Lyapunov exponents and entropy for divergence-free Lipschitz vector fields ⋮ Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation

Cites Work

• Dense area-preserving homeomorphisms have zero Lyapunov exponents
• Pointwise Lipschitz functions on metric spaces
• Expansiveness, hyperbolicity and Hausdorff dimension
• Lyapunov exponents for continuous transformations and dimension theory
• Characteristic exponents of dynamical systems in metric spaces
• Persistence in expansive systems
• Expansive Homeomorphisms and Topological Dimension
• LYAPUNOV EXPONENTS ON METRIC SPACES
• Arcs and Geodesics in Metric Spaces

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