Stationary distribution for dioecious branching particle systems with rapid stirring

• 成果类型: Article
• 署名作者: Yu, Feng
• 署名单位: University of Oxford
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/105051607000000276
• 发表日期: 2007
• 页码: 1508-1537
• 关键词: diffusion equations

摘要

We study dioccious (i.e., two-sex) branching particle system models, where there are two types of particles, modeling the male and female populations, and where birth of new particles requires the presence of both male and female particles. We show that stationary distributions of various dioecious branching particle models are nontrivial under certain conditions, for example, when there is sufficiently fast stirring.