3 papers
math.DG2026
Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity
Chao-Ming Lin, Kai-Hsiang Wang
We introduce a weighted version of intermediate Ricci curvature and establish several equivalent characterizations of its lower bound. As an application, we generalize the results…
math.AP2026
Dimension Bound of Singular Set of One-Phase Free Boundary Problems in Spaces with Two-Sided Ricci Bound
Kai-Hsiang Wang
In this article, we show that for one-phase free boundary problems in noncollapsed limits of -dimensional manifolds with two-sided Ricci curvature bounds, the Hausdorff dimensio…
math.FA2025
On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces
Dongwei Chen, Kai-Hsiang Wang
This paper studies the probabilistic function approximation problem over reproducing kernel Hilbert spaces. We show the existence and uniqueness of the optimizer under mild assumpt…