Expansive canonical coordinates are hyperbolic

DOI10.1016/0166-8641(83)90038-XzbMath0502.54044OpenAlexW2061590923WikidataQ127997794 ScholiaQ127997794MaRDI QIDQ1172837

William L. Reddy

Publication date: 1983

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90038-x

zbMATH Keywords

expansive homeomorphism of compact metric spacehyperbolic canonical coordinates

Mathematics Subject Classification ID

Entropy in general topology (54C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Equivalent conditions for hyperbolic coordinates, Hyperbolic metrics of expansive homeomorphisms, Continuum-wise hyperbolicity, The structure of pointwise recurrent expansive homeomorphisms, Expansive Subdynamics, Three dimensional expansive diffeomorphisms with homoclinic points, Canonical coordinates and the pseudo orbit tracing property, Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive, Expansive homeomorphisms in continuum theory, Shadowing properties of \({\mathcal L}\)-hyperbolic homeomorphisms, Self-similar hyperbolicity, Topological Entropy of Fixed-Point Free Flows, Expansiveness, hyperbolicity and Hausdorff dimension, Some relations between Hausdorff-dimensions and entropies

Cites Work

• The thermodynamic formalism for expanding maps
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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