报告题目 (Title)：Gap probability for the hard edge Pearcey process（硬边Pearcey过程的间隙概率）

报告人 (Speaker)：张仑 教授（复旦大学）

报告时间 (Time)：2023年8月28日 (周一) 10:30

报告地点 (Place)：校本部F309

邀请人(Inviter)：何卓衡

主办部门：理学院数学系

报告人简介：

摘要：The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. In this talk, we consider gap probabilityfor the thinned/unthinned hard edge Pearcey process over the interval (0,s). By working on the relevant Fredholm determinants, we obtain an integral representation of the gap probability via a Hamiltonian related a system of coupled differential equations and the large gap asymptotics. Moreover, we also establish asymptotic statistical properties of the counting function for the hard edge Pearcey process. This talk is based on joint works with Dan Dai, Shuai-Xia Xu and Luming Yao.