Mathematical Sciences: Construction and Study of Certain Infinite Dimensional Processes

首席研究员将研究几种模型， 在研究生长、传播和发展的科学中产生 相似粒子的系统。 这些系统的演变是 随机的，可以方便地描述为随机过程 无限维的状态空间。 研究者将 研究这些模型，通过制定和解决适当的 鞅问题，然后使用鞅框架来证明 各种极限定理

The principal investigator will study several models which arise in science in the study of growth, spread and development of a system of like particles. The evolution of these systems is random and can be conveniently described as a stochastic process with an infinite dimensional state space. The investigator will study these models by formulating and solving appropriate martingale problems then using the martingale framework to prove various limit theorems.