A note on Anosov homeomorphisms

DOI10.3390/AXIOMS8020054zbMath1440.37029arXiv1904.04490OpenAlexW2963875561WikidataQ127945421 ScholiaQ127945421MaRDI QIDQ2306326

Mauricio Achigar

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04490

zbMATH Keywords

pseudo-orbitshadowing propertyexpansive homeomorphism

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (5)

Average shadowing and gluing property ⋮ Expansive actions with specification of sofic groups, strong topological Markov property, and surjunctivity ⋮ Sufficient conditions for expansive group action ⋮ Extensions of expansive dynamical systems ⋮ Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group

Cites Work

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• Expansiveness, hyperbolicity and Hausdorff dimension
• Expansive Self-Homeomorphisms of a Compact Metric Space
• Unstable Homeomorphisms

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