Hyperbolic times: frequency versus integrability

• Type: Article in International Scientific Journal
• Date: 2004

Authors

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

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 24

Pages: 329-346

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 15 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-AY2

DOI: 10.1017/s0143385703000555

Abstract (EN): We consider dynamical systems on compact manifolds that are local diffeomorphisms outside an exceptional set (a compact submanifold). We are interested in analyzing the relation between the integrability (with respect to Lebesgue measure) of the first hyperbolic time map and the existence of positive frequency of hyperbolic times. We show that a (strong) integrability of the first hyperbolic time map implies a positive frequency of hyperbolic times. We also present an example of a map with a positive frequency of hyperbolic times at Lebesgue almost every point, but whose first hyperbolic time map is not integrable with respect to the Lebesgue measure.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18