2 papers
math.PR2026
Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels
Zimo Hao, Xicheng Zhang, Xianliang Zhao
The paper establishes quantitative bounds on how particle systems approximate kinetic McKean–Vlasov stochastic differential equations with singular interaction kernels, and proves…
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…