SLE coordinate changes

Details SLE coordinate changes SLE coordinate changes

2005-05-17

arxiv.org/abs/math/0505368v3

New York J. Math.11:659-669, 2005

Mathematics

Probability

10 pages

Scientific paper

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).

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