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On Multiple Schramm-Loewner Evolutions

K. Graham
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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.

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K. Graham. 2005-11-18. On Multiple Schramm-Loewner Evolutions. https://doi.org/10.1088/1742-5468%2F2007%2F03%2Fp03008

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