报告题目：BOUNDARY TRACE THEOREMS FOR REFLECTED JUMP PROCESSES
时 间：2026年09月23日（星期三）08:30-11:30、14:30-17:30
2026年09月24日（星期四）08:30-11:30、14:30-17:30
2026年09月25日（星期五）08:30-11:30、14:30-17:30
地 点：理工南楼621
主 办：数学与统计学院
参加对象：概率统计系感兴趣的师生
报告摘要：We study the trace of reflected jump Dirichlet forms on domains to their boundaries under a general setting of metric measure spaces. We assume that the reflected Dirichlet form satisfies two-sided mixed stable-like heat kernel estimate, and the boundary satisfies a capacity density condition. We discuss the Besov space type characterization of the domain of the trace Dirichlet form, discuss the properties of harmonic measures, and finally characterize and provide estimates of the jump kernel of the trace Dirichlet form.
报告人简介：Takashi Kumagai studied at Kyoto University, where he defended his PhD thesis in 1994. He is now a professor at Waseda University. His research areas are anomalous diffusions on disordered media such as fractals and random media, and potential theory for jump processes on metric measure spaces. He gave St. Flour 2010 lectures, was a invited speaker at the International Congress of Mathematicians in Seoul 2014 and got the Humboldt Prize in 2017.