Diffusing polygons and SLE($\kappa,\rho$)
概率论
2007-05-23 v1 复变函数
摘要
We give a geometric derivation of SLE() in terms of conformally invariant random growing subsets of polygons. We relate the parameters to the exterior angles of the polygons. We also show that SLE() can be generated by a metric Brownian motion, where metric and Brownian motion are coupled and the metric ist the pull-back metric of the Euclidean metric of an evolving polygon.
关键词
引用
@article{arxiv.math/0506062,
title = {Diffusing polygons and SLE($\kappa,\rho$)},
author = {Robert O. Bauer and Roland M. Friedrich},
journal= {arXiv preprint arXiv:math/0506062},
year = {2007}
}