发布时间：2024-06-04
Limit theorems of occupation times of normalized binary contact path processes on lattices
主讲人：薛晓峰
摘要：The binary contact path process (BCPP) introduced in Griffeath (1983) describes the spread of an epidemic on a graph and is an auxiliary model in the study of improving upper bounds of the critical value of the contact process. In this paper, we are concerned with the central limit theorem of the occupation time of a normalized version of the BCPP (NBCPP) on a lattice. We show that the centred occupation time process of the NBCPP converges in finite dimensional distributions to a Brownian motion when the dimension of the lattice and the infection rate of the model are sufficiently large and the initial state of the NBCPP is distributed with a particular invariant distribution.
主讲人简介：薛晓峰，北京交通大学副教授，研究主要集中在交互作用粒子系统理论和图上马氏过程，属于概率论理论研究. 交互作用粒子系统理论关注图上的粒子在一定规则下随机生灭、运动、交互作用的统计规律和极限行为.本人招收研究生希望学生对概率论理论研究有兴趣，在概率论、随机过程、微分方程等课程上有较扎实的基础，有测度论、泛函分析等课程的学习经历则更好.软件编程能力不是很重要，有则更好. (“研究方向”一栏的“贝叶斯统计与生存分析”仅为粗略划分，为避免误解，特增加本附注)
邀请人：赵林杰
时间：2024年6月6日（星期四）10:30-12:00
地点：东三十二楼115室