Some unsolved and new problems on measure-valued stochastic processes

测值随机过程的一些未解决的新问题

• 批准号: 249554-2011
• 负责人: Zhou, Xiaowen
• 金额: $ 0.95万
• 依托单位: Concordia University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=524698
• 关键词: Some; unsolved; new; problems; measure

Superprocesses are measure-valued stochastic processes that have found many applications in the studies of interacting particle systems, stochastic partial differential equations and population genetics. Two fundamental examples for superprocesses are the Dawson-Watanabe superprocess and the Fleming-Viot superprocess. In this project, we propose the following research on these two superprocesses.

超过程是测度值随机过程，在相互作用粒子系统、随机偏微分方程和种群遗传学等研究中有着广泛的应用。超过程的两个基本例子是Dawson-Watanabe超过程和Fleming-Viot超过程。在这个项目中，我们对这两个超过程提出了以下研究。