The growth exponent for planar loop-erased random walk
Probability
2009-10-28 v2
Abstract
We give a new proof of a result of Kenyon that the growth exponent for loop-erased random walks in two dimensions is 5/4. The proof uses the convergence of LERW to Schramm-Loewner evolution with parameter 2, and is valid for irreducible bounded symmetric random walks on any two-dimensional discrete lattice.
Cite
@article{arxiv.0806.0357,
title = {The growth exponent for planar loop-erased random walk},
author = {Robert Masson},
journal= {arXiv preprint arXiv:0806.0357},
year = {2009}
}
Comments
62 pages, 7 figures; fixed typos, added references