Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise
发布时间:2021年09月20日
浏览次数:5031
发布者: He Liu
主讲人: Shuchen Guo (AMSS-CAS)
活动时间: 从 2021-09-29 15:15 到 17:00
场地: 北京国际数学研究中心,全斋全29教室
We consider moderately interacting particle systems with singular interaction kernel and environmental noise. It is shown that the mollified empirical measures converge in strong norms to the unique (local) solutions of nonlinear Fokker-Planck equations. The approach works for the Biot-Savart and Poisson kernels.