Robust transitivity implies almost robust ergodicity

Details Robust transitivity implies almost robust ergodicity Robust transitivity implies almost robust ergodicity

2002-07-10

arxiv.org/abs/math/0207090v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

In this paper we show the relation between robust transitivity and robust ergodicity for conservative diffeomorphisms. In dimension 2 robustly transitive systems are robustly ergodic. For the three dimensional case, we define it almost robust ergodicity and prove that generically robustly transitive systems are almost robustly ergodic, if the Lyapunov exponents are nonzero. We also show in higher dimensions, that under some conditions robust transitivity implies robust ergodicity.

Affiliated with

Also associated with

No associations

Rating

Robust transitivity implies almost robust ergodicity 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 Robust transitivity implies almost robust ergodicity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Robust transitivity implies almost robust ergodicity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185404