### Abstract

The Schramm-Loewner evolution (SLE) can be simulated by dividing the time interval into N subintervals and approximating the random conformal map of the SLE by the composition of N random, but relatively simple, conformal maps. In the usual implementation the time required to compute a single point on the SLE curve is O(N). We give an algorithm for which the time to compute a single point is O(N ^{p} ) with p<1. Simulations with κ=8/3 and κ=6 both give a value of p of approximately 0.4.

Original language | English (US) |
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Pages (from-to) | 1125-1137 |

Number of pages | 13 |

Journal | Journal of Statistical Physics |

Volume | 128 |

Issue number | 5 |

DOIs | |

Publication status | Published - Sep 2007 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics