Self-similar hyperbolicity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 May 2017Embargo end date: 01 Jan 2018 English Publisher:Cambridge University Press (CUP)Journal:Ergodic Theory and Dynamical Systems, volume 38, pages 2,422-2,446 (issn: 0143-3857, eissn: 1469-4417,

Copyright policy )

Authors: ALFONSO ARTIGUE;

doi: 10.1017/etds.2016.139 , 10.48550/arxiv.1801.08775

arXiv: 1801.08775

Self-similar hyperbolicity

- Summary
- Subjects
- Metrics

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.

Related Organizations

University of the Republic
Uruguay

Keywords

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), expansive homeomorphism, FOS: Mathematics, Self-similar stochastic processes, Hausdorff dimension, Entropy and other invariants, isomorphism, classification in ergodic theory, Dynamical Systems (math.DS), Entropy and other invariants, Mathematics - Dynamical Systems, entropy

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	6
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average