Continuous LERW Started from Interior Points
Probability
2010-04-14 v2
Abstract
We use the whole-plane Loewner equation to define a family of continuous LERW in finitely connected domains that are started from interior points. These continuous LERW satisfy conformal invariance, preserve some continuous local martingales, and are the scaling limits of the corresponding discrete LERW on the discrete approximation of the domains.
Keywords
Cite
@article{arxiv.0809.2230,
title = {Continuous LERW Started from Interior Points},
author = {Dapeng Zhan},
journal= {arXiv preprint arXiv:0809.2230},
year = {2010}
}
Comments
55 pages