Commutation relations for SLE

Details Commutation relations for SLE Commutation relations for SLE

2004-11-12

arxiv.org/abs/math/0411299v4

Comm. Pure Applied Mathematics. 60 (12), p 1792--1847, 2007

Mathematics

Probability

v3: several corrections and additional material. 42 pages

Scientific paper

10.1002/cpa.20191

Schramm-Loewner Evolutions (SLEs) describe a one-parameter family of growth processes in the plane that have particular conformal invariance properties. For instance, SLE can define simple random curves in a simply connected domain. In this paper we are interested in questions pertaining to the definition of several SLEs in a domain (i.e. several random curves). In particular, one derives infinitesimal commutation conditions, discuss some elementary solutions, study integrability conditions following from commutation and show how to lift these infinitesimal relations to global relations in simple cases. The situation in multiply-connected domains is also discussed.

Affiliated with

Also associated with

No associations

Rating

Commutation relations for SLE 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 Commutation relations for SLE, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commutation relations for SLE will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489001