Stable sets, hyperbolicity and dimension

Details Stable sets, hyperbolicity and dimension Stable sets, hyperbolicity and dimension

2003-06-19

arxiv.org/abs/math/0306282v1

Mathematics

Dynamical Systems

Scientific paper

In this note we derive an upper bound for the Hausdorff dimension of the
stable set of a hyperbolic set $\Lambda$ of a $C^2$ diffeomorphisms on a
$n$-dimensional manifold. As a consequence we obtain that $\dim_H
W^s(\Lambda)=n$ is equivalent to the existence of a SRB-measure. We also
discuss related results in the case of expanding maps.

Affiliated with

Also associated with

No associations

Rating

Stable sets, hyperbolicity and dimension 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 Stable sets, hyperbolicity and dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable sets, hyperbolicity and dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402105