学术报告(周晓文 2026.7.3)

aglom Limits of Continuous-State Branching Processes in Brownian Environment

发布人:姚璐
主题
aglom Limits of Continuous-State Branching Processes in Brownian Environment
活动时间
-
活动地址
新数学楼416
主讲人
周晓文 教授 (Concordia University)
主持人
黄永辉 教授

摘要:We investigate the asymptotic behavior of continuous-state branching processes in Brownian random environment. In weakly, intermediately and strongly subcritical regimes, we prove, respectively, the existence of the Yaglom limit and derive an explicit representation of its Laplace transform using Kummer confluent hypergeometric functions. We show that the Yaglom limit does not depend on the initial state of the process across all the subcritical regimes. This talk is based on joint work with Pei-Sen Li and Xiangqi Zheng.