Mathematical Sciences: Studies in Brownian Motion and Interacting Particle Systems

两位博士后学者将分别研究 概率论领域。 第一位研究者将研究一个 与布朗运动有关的若干问题：布朗绕 在平面上，布朗运动和势之间的联系 Ornstein-Uhlenbeck过程的理论、性质和 布朗单和涉及转换策略的问题 两个布朗运动之间。 第二名调查员将 研究相互作用粒子领域的一些问题 系统：长程接触过程的渐近性，系统 涉及两个物种在平衡状态下的共存， 用于表面催化剂。

The two postdoctoral scholars will be working on separate areas in probability theory. The first investigator will study a number of problems related to Brownian motion: Brownian windings in the plane, connections between Brownian motion and potential theory, properties of the Ornstein - Uhlenbeck process and Brownian sheet, and problems involving strategies for switching between two Brownian motions. The second investigator will study a number of problems in the area of interacting particle systems: asymptotics for the long range contact process, systems involving coexistence of two species in equilibrium, and a model for surface catalysts.