Author

Yen-Chang Huang

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Preprint Aug 2026

Slicing Support Functions with Recovery Formula and Curvature Identities

Let $K\subset\mathbb{R}^n$ be a convex body with support function $h_K$. For $\nu\in\mathbb{S}^{n-1}$, $p\in\mathbb{R}$, and $u\in\nu^\perp$, we introduce the slicing support function $h_\nu(u,p)$, defined as the support function of the slice $K\cap\{x\cdot\nu=p\}$ in the direction $u$. For each fixed $p$, this is prec...

Yen-Chang Huang · 0 citations

Preprint Sep 2026

Sharp Gaussian Asymptotics for Marginals of Euclidean Balls

We study Gaussian approximation for probability measures obtained by normalizing one-dimensional profile functions, with one-dimensional marginals of Euclidean balls as the principal example. We first establish quantitative concentration estimates near the set of maximizers. For profiles with a unique nondegenerate max...

Bo-Si Chen, Yen-Chang Huang · 0 citations