Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)
Probability
2022-08-30 v1
Abstract
In the paper we prove that, for , the -point boundary Green's function of exponent for chordal SLE exists. We also prove that the convergence is uniform over compact sets and the Green's function is continuous. We also give up-to-constant bounds for the Green's function.
Keywords
Cite
@article{arxiv.2208.13667,
title = {Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)},
author = {Rami Fakhry and Dapeng Zhan},
journal= {arXiv preprint arXiv:2208.13667},
year = {2022}
}
Comments
37 pages, 5 figures