Scaling limits for random processes

随机过程的缩放限制

• 批准号: 2597633
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2597633
• 关键词: Scaling; limits; random; processes

The research project will address rigorously large-particle-number scaling limits for continuum interacting particle systems. This will include coalescing systems. The objective is to derive the limit equations from the microscopic dynamics. This will draw on the theory of Markov processes and martingale estimates. Connections to Boltzmann equations and to dynamics of spatially inhomogeneous populations may be explored.

该研究项目将严格解决连续相互作用粒子系统的大粒子数标度极限。这将包括聚结系统。目的是从微观动力学中导出极限方程。这将利用马尔可夫过程和鞅估计理论。连接到玻尔兹曼方程和动态的空间不均匀的人口可能会探讨。