INTERACTING GROWTH PROCESSES AND INVARIANT PERCOLATION

• 成果类型: Article
• 署名作者: Mueller, Sebastian
• 署名单位: Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/13-AAP995
• 发表日期: 2015
• 页码: 268-286
• 关键词: branching random-walks; COMPETITION; MODEL

摘要

The aim of this paper is to undetline the relation between reversible growth processes and invariant percolation. We present two models of interacting branching random walks (BRWs), truncated BRWs and competing BRWs, where survival of the growth process can be formulated as the existence of an infinite cluster in an invariant percolation on a tree. Our approach is fairly conceptual and allows generalizations to a wider set of reversible growth processes.