报告人：姚东 副教授（江苏师范大学）

时间：2025年08月27日   上午09:30 —

          2025年08月28日   上午09:30 —

地点：数统学院LD106

摘要：This minicourse focuses on random point processes and consists of two parts. In the first part, we will consider the limiting behavior of (multivariate) linear statistics of determinantal point processes via a graphical representation for their cumulants. We will establish a Wiener chaos decomposition result using an operator formulation and a cumulant cancellation scheme, generalizing classical results on U-statistics based on i.i.d. random variables. In the second part, we will discuss small and large gaps of random point processes. The problem essentially boils down to three ingredients: local scaling of gaps, independence for far-away gaps, and a non-clustering property. We will present a few examples, including zeros of smooth stationary Gaussian processes, zeros of Gaussian holomorphic sections, and eigenvalues of random matrices.

邀请人：数学研究中心

欢迎广大师生积极参与！