On Multiple Schramm-Loewner Evolutions

Abstract

In this note we consider the ansatz for Multiple Schramm-Loewner Evolutions (SLEs) proposed by Bauer, Bernard and Kytölä 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 κ parameters are related by κi = κj or κi = 16 κj .

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Cite this paper

@inproceedings{Graham2007OnMS, title={On Multiple Schramm-Loewner Evolutions}, author={Krista Graham}, year={2007} }