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math.PR2026
Quantitative bounds for high dimensional entropic CLT
Chang-song Deng, Lin Wang, Lihu Xu
By extending the Johnson--Barron projection method from one dimension to high dimensions and utilizing a Wang type dimension-free Harnack inequality, we obtain a new quantitative b…
math.PR2026
Learning Equilibrium Fluctuation Expansions from Overdamped Langevin Dynamics
Lin Wang, Zhengyan Wu
We study higher-order small-noise fluctuation expansions for the overdamped Langevin dynamics in a quartic double-well potential. Assuming that the initial data admits a suitable e…