A Percolating Hard Sphere Model
概率论
2007-05-23 v1
摘要
Given a homogeneous Poisson point process in R^d, Haggstrom and Meester asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-invariant way, so that the spheres do not overlap but there is an unbounded component of touching spheres. We prove that the answer is yes in sufficiently high dimension.
引用
@article{arxiv.math/0607645,
title = {A Percolating Hard Sphere Model},
author = {Codina Cotar and Alexander E. Holroyd and David Revelle},
journal= {arXiv preprint arXiv:math/0607645},
year = {2007}
}
备注
20 pages, 2 figures