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math.PR2026★ 1 cited
Well-posedness of Dean-Kawasaki Equation with Singular Interactions
Likun Wang, Zhengyan Wu, Rangrang Zhang
Inspired by [Fehrman, Gess; Invent. Math., 2023] and [Fehrman, Gess; Arch. Ration. Mech. Anal., 2024], we consider the Dean-Kawasaki equation with singular interactions and correla…
math.PR2026
Quantitative Error Estimates for Learning Macroscopic Mobilities from Microscopic Fluctuations
Nicolas Dirr, Zhengyan Wu, Johannes Zimmer
We develop quantitative error estimates connecting microscopic fluctuation of interacting particle systems with the mobilities of their hydrodynamic limits. Focusing on the Symmetr…
math.PR2024
McKean-Vlasov PDE with Irregular Drift and Applications to Large Deviations for Conservative SPDEs
Zhengyan Wu, Rangrang Zhang
Inspired by [Fehrman, Gess; Invent. Math., 2023], we provide a fine analysis of the McKean-Vlasov PDE with singular interactions and drift terms of square root form. As the corresp…