Uniform shrinking and expansion under isotropic Brownian flows

Details Uniform shrinking and expansion under isotropic Brownian flows Uniform shrinking and expansion under isotropic Brownian flows

2009-01-28

arxiv.org/abs/0901.4414v1

Mathematics

Probability

Scientific paper

10.1007/s10959-008-0193-3

We study some finite time transport properties of isotropic Brownian flows. Under a certain nondegeneracy condition on the potential spectral measure, we prove that uniform shrinking or expansion of balls under the flow over some bounded time interval can happen with positive probability. We also provide a control theorem for isotropic Brownian flows with drift. Finally, we apply the above results to show that under the nondegeneracy condition the length of a rectifiable curve evolving in an isotropic Brownian flow with strictly negative top Lyapunov exponent converges to zero as $t\to \infty$ with positive probability.

Affiliated with

Also associated with

No associations

Rating

Uniform shrinking and expansion under isotropic Brownian flows 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 Uniform shrinking and expansion under isotropic Brownian flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform shrinking and expansion under isotropic Brownian flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-344541