The scaling limit of loop-erased random walk in three dimensions
Probability
2007-05-23 v2
Abstract
We show that the scaling limit exists and is invariant to dilations and rotations. We give some tools that might be useful to show universality.
Cite
@article{arxiv.math/0508344,
title = {The scaling limit of loop-erased random walk in three dimensions},
author = {Gady Kozma},
journal= {arXiv preprint arXiv:math/0508344},
year = {2007}
}
Comments
97 pages, 6 figures. Code used for creation of the LERW picture is included. New version corrects an error in the formulation of Schramm's question (and a few other tidbits)