Hyperbolic times: frequency versus integrability

Details Hyperbolic times: frequency versus integrability Hyperbolic times: frequency versus integrability

2006-07-18

arxiv.org/abs/math/0607436v1

Ergodic Theory and Dynamical Systems, 24 (2004), 329-346

Mathematics

Dynamical Systems

18 pages, 1 figure

Scientific paper

10.1017/S0143385703000555

We consider dynamical systems on compact manifolds, which 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 some (strong) integrability of the first hyperbolic time map implies the existence of a positive Lebesgue measure subset of points with positive frequency of hyperbolic times. We also present an example of a map with 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.

Affiliated with

Also associated with

No associations

Rating

Hyperbolic times: frequency versus integrability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hyperbolic times: frequency versus integrability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic times: frequency versus integrability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122446