Renormalization of the two-dimensional Lotka-Volterra model

• 成果类型: Article
• 署名作者: Cox, J. Theodore; Perkins, Edwin A.
• 署名单位: Syracuse University; University of British Columbia
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/07-AAP453
• 发表日期: 2008
• 页码: 747-812
• 关键词: super-brownian motion; converge

摘要

We show that renormalized two-dimensional Lotka-Volterra models near criticality converge to a super-Brownian motion. This is used to establish long-term survival of a rare type for a range of parameter values near the voter model.