具有奇异相互作用与环境噪声的适度相互作用粒子系统的尺度极限
概率论
2023-05-05 v4
摘要
我们考虑具有奇异相互作用核与环境噪声的适度相互作用粒子系统。我们证明磨光经验测度在强范数下收敛到非线性 Fokker-Planck 方程的唯一（局部）解。该方法对 Biot-Savart 核与排斥 Poisson 核均适用。
引用
@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}
}
备注
40 pages. Accepted by Annals of Applied Probability