报告题目：Precise large deviations for a multitype branching process in a random environment
报告时间：2025-12-24（周三） 16:00-17:00
报 告 人 ：刘全升 教授 （法国南布列塔尼大学）
报告地点：雷军科技楼六楼报告厅（644）
Abstract:
This talk presents precise large deviation asymptotics (Bahadur-Rao type) for the total population in a multitype branching process within an i.i.d. random environment. The offspring law is environment-dependent. Our method combines a martingale argument with a Cramér-type change of measure, under which we prove stable convergence for products of random matrices and L^p convergence for the branching process. The results rely on precise large deviation theory for random matrices. (Joint work with Ion Grama and Thi Trang Nguyen)
