报告人:申广君 教授
报告题目:Conditional McKean-Vlasov stochastic differential equations driven by fractional Brownian motions
报告时间:2026年6月7日(周日)上午9:00
报告地点:云龙校区6号楼304报告厅
主办单位:数学与统计学院、数学研究院、科学技术研究院
报告人简介:
申广君, 安徽师范大学教授、博士生导师,安徽省学术和技术带头人。主要从事随机过程与随机分析方向的研究。
报告摘要:
In this talk, we are concerned with a class of McKean-Vlasov stochastic differential equations with Markovian regime-switching driven by fractional Brownian motions with Hurst parameter H>1/2. We first obtain the existence and uniqueness theorem for solutions of the concerned equations under the non-Lipschitz conditions. Second, we establish the propagation of chaos for the associated mean-field interaction particle systems with common noise and provide an explicit bound on the convergence rate. At last, an averaging principle is investigated with respect to two time-scale conditional McKean-Vlasov stochastic differential equations.


