Mathematical Sciences: Study of Measure-Valued Processes

本项研究涉及到研究中的几个问题， 随机测量值过程，模拟 大人口的空间分布和时间发展。 这些问题与这些的一般公式有关。 过程及其连接，通过de Finetti定理， 相互作用粒子的可交换系统。 这项研究研究的过程中出现的人口 遗传学 特别是，这项工作涉及研究 人口中使用的特定模型的推广 遗传学和识别它们与相互作用的联系 粒子系统

This research involves several problems in the study of stochastic measure-valued processes, processes which model the spatial distribution and time development of a large population. The problems are concerned with the general formulation of these processes and with their connection, via de Finetti's theorem, with exchangeable systems of interacting particles. This research studies processes which arise in population genetics. In particular, the work involves studying generalizations of the specific models used in population genetics and identifying their connections to interacting particles systems.