Loop-Erasure of Plane Brownian Motion
Probability
2015-05-18 v1
Abstract
We use the coupling technique to prove that there exists a loop-erasure of a plane Brownian motion stopped on exiting a simply connected domain, and the loop-erased curve is the reversal of a radial SLE curve.
Cite
@article{arxiv.1001.3189,
title = {Loop-Erasure of Plane Brownian Motion},
author = {Dapeng Zhan},
journal= {arXiv preprint arXiv:1001.3189},
year = {2015}
}
Comments
10 pages