Phase transitions for the Boolean model of continuum percolation for Cox point processes
Probability
2020-05-26 v2
Abstract
We consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existence of subcritical regimes for the size of the cluster at the origin in terms of volume, diameter and number of points. Further, we prove uniqueness of the infinite cluster for sufficiently connected environments.
Cite
@article{arxiv.2003.06206,
title = {Phase transitions for the Boolean model of continuum percolation for Cox point processes},
author = {Benedikt Jahnel and András Tóbiás and Elie Cali},
journal= {arXiv preprint arXiv:2003.06206},
year = {2020}
}
Comments
22 pages, 2 figures