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Self-similar hyperbolicity

Published online by Cambridge University Press:  02 May 2017

ALFONSO ARTIGUE Open the ORCID record for ALFONSO ARTIGUE [Opens in a new window]
ALFONSO ARTIGUE*
Affiliation:
Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto, Uruguay email artigue@unorte.edu.uy
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Abstract

In this paper we consider expansive homeomorphisms of compact spaces with a hyperbolic metric presenting a self-similar behavior on stable and unstable sets. Several applications are given related to Hausdorff dimension, entropy, intrinsically ergodic measures and the transitivity of expansive homeomorphisms with canonical coordinates.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 7 , October 2018 , pp. 2422 - 2446
Copyright
© Cambridge University Press, 2017 

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