【数学与统计及交叉学科前沿论坛------高端学术讲座第177场】

报告题目：Precise large deviations for a multitype branching process in a random environment

报 告 人：刘全升 (Univ. Bretagne Sud)

报告时间：2025年12月16日周二16:00-17:00

报告地点：阜成路校区教二楼203

报告摘要：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)

报告人简介：刘全升，法国特级教授, 就职于南布列塔尼大学,享受法国优秀科研津贴 (PES/PEDR)。研究课题涉及概率统计，分形几何和数字图像处理，包括大偏差理论、随机矩阵乘积、分枝随机游动和图像去噪等。在《J. Eur. Math. Soc. 》、《Annals of Probability》、《Probab. Th. Rel. Fields》、《Annals of Applied Probability》、《IEEE Trans. Image Processing》等期刊上发表论文100 余篇。