Continuum percolation for Gibbs point processes

被引：9
|
作者：
Stucki, Kaspar [1 ]
机构：
[1] Univ Gottingen, Gottingen, Germany
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2013年 / 18卷
关键词：
Gibbs point process; Percolation; Boolean model; Conditional intensity;
D O I：
10.1214/ECP.v18-2837
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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.
引用
收藏
页码：1 / 10
页数：10
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