Conditioning SLEs and loop erased random walks
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
We discuss properties of dipolar SLE(k) under conditioning. We show that k=2, which describes continuum limits of loop erased random walks, is characterized as being the only value of k such that dipolar SLE conditioned to stop on an interval coincides with dipolar SLE on that interval. We illustrate this property by computing a new bulk passage probability for SLE(2).
Cite
@article{arxiv.0806.2246,
title = {Conditioning SLEs and loop erased random walks},
author = {Michel Bauer and Denis Bernard and Tom Kennedy},
journal= {arXiv preprint arXiv:0806.2246},
year = {2015}
}
Comments
25 pages, 1 figure