A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections

Details A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections

2009-12-14

arxiv.org/abs/0912.2665v1

Mathematics

Differential Geometry

14 pages

Scientific paper

Let $G$ be a Lie Group with a left invariant connection such that its connection function is skew-symmetric. Our main goal is to show a version of Pluzhnikov's Theorem for this kind of connection. To this end, we use the stochastic logarithm. More exactly, the stochastic logarithm gives characterizations for Brownian motions and Martingales in $G$, and these characterzations are used to prove Pluzhnikov's Theorem.

Affiliated with

Also associated with

No associations

Rating

A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections 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 A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Pluzhnikov's Theorem, Brownian motions and Martingales in Lie Group with skew-symmetric connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624815