# On Multiple Schramm-Loewner Evolutions

Source: [On Multiple Schramm-Loewner Evolutions](<https://www.sota2.com/research/paper/68fa27132c2a3760193bff9e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:47:43.319Z

Authors: K. Graham

Published: 2005-11-18T19:23:18.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math-ph/0511060>)

[PDF](<https://arxiv.org/pdf/math-ph/0511060.pdf>)