Large deviations for discrete and continuous percolation

被引：65

作者：

Penrose, MD ^{[1
]}

Pisztora, A ^{[1
]}

机构：

[1] NYU,COURANT INST,NEW YORK,NY

来源：

ADVANCES IN APPLIED PROBABILITY | 1996年 / 28卷 / 01期

关键词：

continuum percolation; large deviations; supercritical phase; Poisson process;

D O I：

10.2307/1427912

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：

Motivated by a statistical application, we consider continuum percolation in two or more dimensions, restricted to a large finite box, when above the critical point. We derive surface order large deviation estimates for the volume of the largest cluster and for its intersection with the boundary of the box. We also give some natural extensions to known, analogous results on lattice percolation.

引用

页码：29 / 52

页数：24

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