SLE coordinate changes
Probability
2009-02-25 v3 Mathematical Physics
math.MP
Abstract
The purpose of this note is to describe a framework which unifies radial, chordal and dipolar SLE. When the definition of SLE(kappa;rho) is extended to the setting where the force points can be in the interior of the domain, radial SLE(kappa) becomes chordal SLE(kappa;rho), with rho=kappa-6, and vice versa. We also write down the martingales describing the Radon-Nykodim derivative of SLE(kappa;rho_1,...,rho_n) with respect to SLE(kappa).
Cite
@article{arxiv.math/0505368,
title = {SLE coordinate changes},
author = {Oded Schramm and David B. Wilson},
journal= {arXiv preprint arXiv:math/0505368},
year = {2009}
}
Comments
10 pages