On the shape of the domain occupied by a supercritical branching random walk

被引：1

作者：

Revesz, P ^{[1
]}

机构：

[1] VIENNA TECH UNIV,INST STAT & WAHRSCHEINLICHKEITSTHEORIE,A-1040 VIENNA,AUSTRIA

来源：

STATISTICS & PROBABILITY LETTERS | 1996年 / 30卷 / 04期

关键词：

branching random walk; strong laws; shape properties;

D O I：

10.1016/S0167-7152(95)00232-4

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：

A particle system on Z(d) is considered whose evolution is as follows. At each unit of time each particle independently is replaced by a new generation. The size of a new generation descending from a particle at site x has a distribution and each of its members independently jump to a neighbouring site with probability 1/2d. Let D(T) be the set of the occupied sites at time T. The geometrical properties of D(T) are studied.

引用

页码：295 / 303

页数：9

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