Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise
Time: 2021-09-20
Published By: He Liu
Speaker(s): Shuchen Guo (AMSS-CAS)
Time: 15:15-17:00 September 29, 2021
Venue: Room 29, Quan Zhai, BICMR
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.
