On persistently positively expansive maps

Author:

Arbieto Alexander1

Affiliation:

1. Universidade Federal do Rio de Janeiro, Brasil

Abstract

In this paper, we prove that any C¹-persistently positively expansive map is expanding. This improves a result due to Sakai (Sakai 2004).

Publisher

FapUNIFESP (SciELO)

Subject

Multidisciplinary

Reference8 articles.

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2. Positively Expansive maps of compact manifolds;COVEN E;Lecture Notes in Math,1980

3. Necessary conditions for stability of diffeomorphisms;FRANKS J.;Trans Amer Math Soc,1971

4. Thermodynamical Formalism;RUELLE D.;Encyclopedia Math Appl,1978

5. Periodic Points of Positively Expansive maps;SAKAI K;Proc Amer Math Soc,1985

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1. Past stability and expansivity for self-maps;Journal of Mathematical Analysis and Applications;2017-10

2. Specification and partial hyperbolicity for flows;Dynamical Systems;2015-09-22

3. Partial hyperbolicity and specification;Proceedings of the American Mathematical Society;2015-08-20

4. Periodic orbits and expansiveness;Mathematische Zeitschrift;2010-08-04

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