The Global Geometry of Stochastic Lœwner Evolutions

Details The Global Geometry of Stochastic Lœwner Evolutions The Global Geometry of Stochastic Lœwner Evolutions

2009-06-29

arxiv.org/abs/0906.5328v1

Physics

Mathematical Physics

31 pages, 5 figures, conference proceedings

Scientific paper

In this article we develop a concise description of the global geometry which is underlying the universal construction of all possible generalised Stochastic L{\oe}wner Evolutions. The main ingredient is the Universal Grassmannian of Sato-Segal-Wilson. We illustrate the situation in the case of univalent functions defined on the unit disc and the classical Schramm-L{\oe}wner stochastic differential equation. In particular we show how the Virasoro algebra acts on probability measures. This approach provides the natural connection with Conformal Field Theory and Integrable Systems.

Affiliated with

Also associated with

No associations

Rating

The Global Geometry of Stochastic Lœwner Evolutions 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 The Global Geometry of Stochastic Lœwner Evolutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Global Geometry of Stochastic Lœwner Evolutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248269