Continuum percolation for Gibbs point processes
Probability
2013-08-12 v2
Abstract
We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point processes there exists a critical activity, such that percolation occurs a.s. above criticality. For locally stable Gibbs point processes we show a converse result, i.e. they do not percolate a.s. at low activity.
Cite
@article{arxiv.1305.0492,
title = {Continuum percolation for Gibbs point processes},
author = {Kaspar Stucki},
journal= {arXiv preprint arXiv:1305.0492},
year = {2013}
}
Comments
13 pages