奇异系数的McKean–Vlasov随机微分方程的估计



活动地点:腾讯会议

活动时间:2022-06-11 15:00:00

报告题目 (Title):Approximations of McKean–Vlasov Stochastic Differential Equations with Irregular Coefficients(奇异系数的McKean–Vlasov随机微分方程的估计)

报告人 (Speaker): 黄兴 副教授(天津大学)

报告时间 (Time):2022年6月11日 (周六) 15:00-17:00

报告地点 (Place):腾讯会议(会议号:188-247-836 无密码)

邀请人(Inviter):阳芬芬

主办部门:理vn99威尼斯人手机版数学系

报告摘要:The goal of this paper is to approximate two kinds of McKean–Vlasov stochastic differential equations (SDEs) with irregular coefficients via weakly interacting particle systems. More precisely, propagation of chaos and convergence rate of Euler–Maruyama scheme associated with the consequent weakly interacting particle systems are investigated for McKean–Vlasov SDEs, where (1) the diffusion terms are Hölder continuous by taking advantage of Yamada–Watanabe’s approximation approach and (2) the drifts are Hölder continuous by freezing distributions followed by invoking Zvonkin’s transformation trick.

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