Pesin's Formula for Random Dynamical Systems on $R^d$

Details Pesin's Formula for Random Dynamical Systems on $R^d$ Pesin's Formula for Random Dynamical Systems on $R^d$

2012-01-05

arxiv.org/abs/1201.1191v1

Mathematics

Probability

35 pages

Scientific paper

Pesin's formula relates the entropy of a dynamical system with its positive Lyapunov exponents. It is well known, that this formula holds true for random dynamical systems on a compact Riemannian manifold with invariant probability measure which is absolutely continuous with respect to the Lebesgue measure. We will show that this formula remains true for random dynamical systems on $R^d$ which have an invariant probability measure absolutely continuous to the Lebesgue measure on $R^d$. Finally we will show that a broad class of stochastic flows on $R^d$ of a Kunita type satisfies Pesin's formula.

Affiliated with

Also associated with

No associations

Rating

Pesin's Formula for Random Dynamical Systems on $R^d$ 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 Pesin's Formula for Random Dynamical Systems on $R^d$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pesin's Formula for Random Dynamical Systems on $R^d$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609980