Convergence of radial loop-erased random walk in the natural parametrization
Probability
2017-03-13 v1
Abstract
In recent work we have shown that loop-erased random walk (LERW) connecting two boundary points of a domain converges to the chordal Schramm-Loewner evolution (SLE(2)) in the sense of curves parametrized by Minkowski content. In this note we explain how to derive the analogous result for LERW from a boundary point to an interior point, converging towards radial SLE(2).
Keywords
Cite
@article{arxiv.1703.03729,
title = {Convergence of radial loop-erased random walk in the natural parametrization},
author = {Gregory F. Lawler and Fredrik Viklund},
journal= {arXiv preprint arXiv:1703.03729},
year = {2017}
}
Comments
23 pages, no figures