A near neighbour continuum percolation model
Probability
2007-05-23 v1
Abstract
We introduce a continuum percolation model defined on the points of a d-dimensional homogeneous Poisson process. Each Poisson point is connected to all points within its connection range, which depends on the distances to the other Poisson points. We show that the new model exhibits a phase transition, and obtain results about the critical values in low and high dimensions.
Cite
@article{arxiv.math/0611315,
title = {A near neighbour continuum percolation model},
author = {A. Gillett and M. Nuyens},
journal= {arXiv preprint arXiv:math/0611315},
year = {2007}
}
Comments
18 pages