On Multiple Schramm-Loewner Evolutions
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
In this note we consider the ansatz for Multiple Schramm-Loewner Evolutions (SLEs) proposed by Bauer, Bernard and Kytola from a more probabilistic point of view. Here we show their ansatz is a consequence of conformal invariance, reparameterisation invariance and a notion of absolute continuity. In so doing we demonstrate that it is only consistent to grow multiple SLEs if their kappa parameters are related by kappa_i = kappa_j or kappa_i = 16 / kappa_j.
Cite
@article{arxiv.math-ph/0511060,
title = {On Multiple Schramm-Loewner Evolutions},
author = {K. Graham},
journal= {arXiv preprint arXiv:math-ph/0511060},
year = {2009}
}
Comments
21 pages, 4 figures