Loop-erased random walk on a torus in dimensions 4 and above
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Sharp estimates for the length of loop erased random walk between two vertices on the [n]^d -torus, d > 4, are established. The mean length is order n^{d/2} . In dimension 4 we have only an upper bound.
Keywords
Cite
@article{arxiv.math/0309009,
title = {Loop-erased random walk on a torus in dimensions 4 and above},
author = {Itai Benjamini and Gady Kozma},
journal= {arXiv preprint arXiv:math/0309009},
year = {2007}
}