Classification of expansive attractors on surfaces

DOI10.1017/S0143385710000544zbMath1267.37025arXiv1002.1485OpenAlexW2963291647MaRDI QIDQ2884091

Brian F. Martensen, Marcy M. Barge

Publication date: 24 May 2012

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

Full work available at URL: https://arxiv.org/abs/1002.1485

zbMATH Keywords

attractorstransitiveexpansive homeomorphismspseudo-Anosov

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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Cites Work

• Taming the Cantor fence
• Rigidity in one-dimensional tiling spaces
• Expansive attractors on surfaces
• Embedding tiling spaces in surfaces
• Expansive homeomorphisms of surfaces
• Differentiable dynamical systems