Percolation threshold for metric graph loop soup
Probability
2024-01-04 v2
Abstract
In this short note, we show that the critical threshold for the percolation of metric graph loop soup on a large class of transient metric graphs (including quasi-transitive graphs such as , ) is .
Keywords
Cite
@article{arxiv.2304.08225,
title = {Percolation threshold for metric graph loop soup},
author = {Yinshan Chang and Hang Du and Xinyi Li},
journal= {arXiv preprint arXiv:2304.08225},
year = {2024}
}
Comments
10 pages, 1 figure; revised version (incl. title), to appear in Bernoulli