3 papers
math.PR2026
Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels
Zimo Hao, Xicheng Zhang, Xianliang Zhao
We prove a quantitative propagation of chaos estimate and a central limit theorem for the particle system associated with a class of degenerate kinetic McKean--Vlasov SDEs with ext…
math.PR2025
The fluctuation behaviour of the stochastic point vortex model with common noise
Yufei Shao, Xianliang Zhao
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 prove t…
math.PR2024
Quantitative particle approximations of stochastic 2D Navier-Stokes equation
Yufei Shao, Xianliang Zhao
In this article, we investigate an interacting particle system featuring random intensities, individual noise, and environmental noise, commonly referred to as stochastic point vor…