Widths of crossings in Poisson Boolean percolation
Probability
2025-04-30 v1
Abstract
We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model does contain a crossing of an square, how wide is this crossing? The answer depends on the whether we consider the critical, sub- or super-critical regime, and is different for the occupied and vacant sets.
Cite
@article{arxiv.2211.11661,
title = {Widths of crossings in Poisson Boolean percolation},
author = {Ioan Manolescu and Leonardo V. Santoro},
journal= {arXiv preprint arXiv:2211.11661},
year = {2025}
}