On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics

Details On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics

2010-12-10

arxiv.org/abs/1012.2320v2

Mathematics

Dynamical Systems

27 pages, 5 figures; main theorem with strong hypothesis; proofs corrected

Scientific paper

We show that the time-1 map of an Anosov flow, whose strong-unstable
foliation is $C^2$ smooth and minimal, is $C^2$ close to a diffeomorphism
having positive central Lyapunov exponent Lebesgue almost everywhere and a
unique physical measure with full basin, which is $C^r$ stably ergodic. Our
method is perturbative and does not rely on preservation of a smooth measure.

Affiliated with

Also associated with

No associations

Rating

On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics 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 On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108223