APPROXIMATING CRITICAL PARAMETERS OF BRANCHING RANDOM WALKS

被引：15
|
作者：
Bertacchi, Daniela [1 ]
Zucca, Fabio [2 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
来源：
JOURNAL OF APPLIED PROBABILITY | 2009年 / 46卷 / 02期
关键词：
Branching random walk; critical parameters; percolation; graphs; HOMOGENEOUS TREES; ERGODIC-THEOREMS; CONTACT PROCESS; GRAPHS;
D O I：
10.1239/jap/1245676100
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：
Given a branching random walk on a graph, we consider two kinds of truncations: either by inhibiting the reproduction outside a subset of vertices or by allowing at most m particles per vertex. We investigate the convergence of weak and strong critical parameters of these truncated branching random walks to the analogous parameters of the original branching random walk. As a corollary, we apply our results to the study of the strong critical parameter of a branching random walk restricted to the cluster of a Bernoulli bond percolation.
引用
收藏
页码：463 / 478
页数：16
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