Discrete Loewner evolution
概率论
2007-05-23 v1 复变函数
摘要
We study a one parameter family of discrete Loewner evolutions driven by a random walk on the real line. We show that it converges to the stochastic Loewner evolution (SLE) under rescaling. We show that the discrete Loewner evolution satisfies Markovian-type and symmetry properties analogous to SLE, and establish a phase transition property for the discrete Loewner evolution when the parameter equals 4.
引用
@article{arxiv.math/0303119,
title = {Discrete Loewner evolution},
author = {Robert O. Bauer},
journal= {arXiv preprint arXiv:math/0303119},
year = {2007}
}
备注
21 pages