Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions

• 成果类型: Article
• 署名作者: Dawson, DA; Li, ZH
• 署名单位: Carleton University; Beijing Normal University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-003-0278-y
• 发表日期: 2003
• 页码: 37-61
• 关键词: partial-differential equations; valued branching diffusions

摘要

A superprocess with dependent spatial motion and interactive immigration is constructed as the pathwise unique solution of a stochastic integral equation carried by a stochastic flow and driven by Poisson processes of one-dimensional excursions.