Hyperbolic times: integrability versus positive frequency
by
Vitor Araujo
University of Porto
Coauthors: Jose F. Alves

Considering local diffeomorphisms of compact manifolds outside an exceptional set, we obtain relations between the integrability (with respect to Lebesgue measure) of the first hyperbolic time map and the existence of positive frequency of hyperbolic times for a positive Lebesgue measure subset of points. We present an example of a map with positive frequency of hyperbolic times Lebesgue almost everywhere but whose first hyperbolic time map is not Lebesgue integrable.

Date received: May 7, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calh-18.