On the uniform hyperbolicity of some nonuniformly hyperbolic systems

• Type: Article in International Scientific Journal
• Date: 2003

Authors

alves, jf (Author) FCUP; araujo, v (Author) Other; saussol, b (Author) Other

Journal

Title: Proceedings of the American Mathematical Society

Vol. 131

Pages: 1303-1309

ISSN: 0002-9939

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 34 Citations

Scopus - 34 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-KF6

DOI: 10.1090/s0002-9939-02-06857-0

Abstract (EN): We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7