報告人:魏茸 博士
報告題目:Large deviations of reflected weakly interacting particle systems
報告時間:2025年11月8日(周六)上午 9:30
報告地點:云龍校區6號樓304會議室
主辦單位:數學與統計學院、數學研究院、科學技術研究院
報告人簡介:
魏茸,安徽師范大學講師,2022年博士畢業于中國科學技術大學。已在Bernoulli, Proceedings of the American Mathematical Society,中國科學:數學,Acta Mathematicae Applicatae Sinica, English Series等國內外雜志上發表論文數篇。主持國家自然科學青年基金項目1項。
報告摘要:
In this paper, we prove a large deviation principle for the empirical measures of a system of weakly interacting diffusions with reflection. We adopt the weak convergence approach. To make this approach work, we show that the sequence of empirical measures of the controlled reflected system will converge to the weak solution of an associated reflected McKean-Vlasov equation.