报告题目：Boundary behavior for simple exchangeable fragmentation-coagulation process in critical slow regime

报 告 人：周晓文教授（加拿大康考迪亚大学）

报告时间：2025年6月6日  16:00-17:00

报告地点：数学研究中心528

报告摘要：

Boundary behavior for simple exchangeable fragmentation-coagulation process was studied first in Foucart (2022) and later in Foucart and Zhou (2022). But some critical cases were left unaddressed. In this talk, for a critical simple exchangeable fragmentation-coagulation process in slow regime where the coagulation rate and fragmentation rate are of the same order, we show that there exist phase transitions for its boundary behavior at infinity depending on the asymptotics of the difference between the two rates, and find rather sharp conditions for different boundary behaviors.

报告人简介：

周晓文，1999年在美国加州大学Berkeley分校获统计学博士学位。现任加拿大Concordia大学数学与统计系终身教授。长期从事概率论与随机过程理论的研究，主要研究领域包括测度值随机过程，Levy过程及其在种群遗传学和风险理论中的应用。先后在《Annals of Probability》《Probability and Related Fields》《Journal of Differential Equations》《Canadian Journal of Mathematics》《Theoretical Population Biology》《Stochastic Processes and their Applications》《Journal of Theoretical Probability》等国际顶级概率刊物发表论文80余篇。