Ecological equilibrium for restrained branching random walks

• 成果类型: Article
• 署名作者: Bertacchi, Daniela; Posta, Gustavo; Zucca, Fabio
• 署名单位: University of Milan; Polytechnic University of Milan
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051607000000203
• 发表日期: 2007
• 页码: 1117-1137
• 关键词: contact process; systems; trees

摘要

We study a generalized branching random walk where particles breed at a rate which depends on the number of neighboring particles. Under general assumptions on the breeding rates we prove the existence of a phase where the population survives without exploding. We construct a nontrivial invariant measure for this case.