Subcritical regimes in the Poisson Boolean model of continuum percolation
成果类型：
Article
署名作者：
Gouere, Jean-Baptiste
署名单位：
Universite de Orleans
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/07-AOP352
发表日期：
2008
页码：
1209-1220
关键词：
摘要：
We consider the Poisson Boolean model of continuum percolation. We show that there is a subcritical phase if and only if E(R-d) is finite, where R denotes the radius of the balls around Poisson points and d denotes the dimension. We also give related results concerning the integrability of the diameter of subcritical clusters.