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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.

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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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