MEASURE-VALUED BRANCHING DIFFUSIONS WITH SPATIAL INTERACTIONS

• 成果类型: Article
• 署名作者: PERKINS, E
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/BF01192444
• 发表日期: 1992
• 页码: 189-245
• 关键词: differential-equations

摘要

A strong equation driven by a historical Brownian motion is used to construct and characterize measure-valued branching diffusions in which the spatial motions obey an Ito equation with drift and diffusion depending on the position of an individual and the entire population.