3 papers
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…
math.DG2025
The qualitative behavior for biharmonic functions on open manifolds
Lin Wang, Miaomiao Zhu
For a complete noncompact Riemannian manifold with nonnegative Ricci curvature, we show that bounded biharmonic functions are constant and the space consists of biharmonic function…