The infinite two-sided loop-erased random walk
Probability
2018-02-20 v1
Abstract
The loop-erased random walk (LERW) in , is obtained by erasing loops chronologically from simple random walk. In this paper we show the existence of the two-sided LERW which can be considered as the distribution of the LERW as seen by a point in the "middle" of the path.
Cite
@article{arxiv.1802.06667,
title = {The infinite two-sided loop-erased random walk},
author = {Gregory F. Lawler},
journal= {arXiv preprint arXiv:1802.06667},
year = {2018}
}