Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group

Details Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group

2008-02-14

arxiv.org/abs/0802.1955v1

Mathematics

Probability

Scientific paper

An embedding of the group $\Diff(S^{1})$ of orientation preserving
diffeomorphims of the unit circle $S^1$ into an infinite-dimensional symplectic
group, $\Sp(\infty)$, is studied. The authors prove that this embedding is not
surjective. A Brownian motion is constructed on $\Sp(\infty)$. This study is
motivated by recent work of H. Airault, S. Fang and P. Malliavin.

Affiliated with

Also associated with

No associations

Rating

Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group 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 Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682193