Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise
Probability
2023-05-05 v4
Abstract
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 repulsive Poisson kernels.
Keywords
Cite
@article{arxiv.2107.03616,
title = {Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise},
author = {Shuchen Guo and Dejun Luo},
journal= {arXiv preprint arXiv:2107.03616},
year = {2023}
}
Comments
40 pages. Accepted by Annals of Applied Probability