Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting
particle systems via relative entropy method with quantitative bounds. We show an algebraic …
particle systems via relative entropy method with quantitative bounds. We show an algebraic …
Uniform-in-time estimates on the size of chaos for interacting Brownian particles
A Bernou, M Duerinckx - arXiv preprint arXiv:2405.19306, 2024 - arxiv.org
We consider a system of classical Brownian particles interacting via a smooth long-range
potential in the mean-field regime, and we analyze the propagation of chaos in form of …
potential in the mean-field regime, and we analyze the propagation of chaos in form of …
The fluctuation behaviour of the stochastic point vortex model with common noise
Y Shao, X Zhao - arXiv preprint arXiv:2501.06850, 2025 - arxiv.org
This article studies the fluctuation behaviour of the stochastic point vortex model with
common noise. Using the martingale method combined with a localization argument, we …
common noise. Using the martingale method combined with a localization argument, we …