Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
Probability
2023-12-07 v2
Abstract
We correct and streamline the proof of the fact that, at the critical point , the vacant set of the two-dimensional random interlacements is infinite (Comets, Popov, 2017). Also, we prove a zero-one law for a natural class of tail events related to the random interlacements.
Cite
@article{arxiv.2209.07938,
title = {Two-dimensional random interlacements: 0-1 law and the vacant set at criticality},
author = {Orphée Collin and Serguei Popov},
journal= {arXiv preprint arXiv:2209.07938},
year = {2023}
}
Comments
revised version, 14 pages, 2 pictures; corrects a flaw contained in the final part of the proof in arXiv:1606.05805