Super-Brownian motion with reflecting historical paths. II. Convergence of approximations

• 成果类型: Article
• 署名作者: Burdzy, K; Mytnik, L
• 署名单位: University of Washington; University of Washington Seattle; Technion Israel Institute of Technology
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-004-0413-4
• 发表日期: 2005
• 页码: 145-174
• 关键词: partial-differential equations

摘要

We prove that the sequence of finite reflecting branching Brownian motion forests defined by Burdzy and Le Gall ([1]) converges in probability to the super-Brownian motion with reflecting historical paths. This solves an open problem posed in [1], where only tightness was proved for the sequence of approximations. Several results on path behavior were proved in [1] for all subsequential limits-they obviously hold for the unique limit found in the present paper.