The Green's function for the radial Schramm-Loewner evolution
Probability
2015-06-05 v1 Mathematical Physics
math.MP
Abstract
We prove the existence of the Green's function for radial SLE(k) for k<8. Unlike the chordal case where an explicit formula for the Green's function is known for all values of k<8, we give an explicit formula only for k=4. For other values of k, we give a formula in terms of an expectation with respect to SLE conditioned to go through a point.
Cite
@article{arxiv.1207.3721,
title = {The Green's function for the radial Schramm-Loewner evolution},
author = {Tom Alberts and Michael J. Kozdron and Gregory F. Lawler},
journal= {arXiv preprint arXiv:1207.3721},
year = {2015}
}
Comments
v1: 16 pages, 0 figures