Author

Xing-Long Wu

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Preprint Oct 2026

Chaining, tree and measure for some canonical processes

We prove two deterministic results for families of distances arising in the study of canonical processes. The first derives an admissible partition scheme from a growth condition. The second gives a representation in terms of parameterized separation trees and compares it with the corresponding majorizing-measure quant...

Xuan-Ang Hu, Han-Chao Wang, Xing-Long Wu · 0 citations

Preprint Sep 2026

Sharp singularity asymptotics for discrete random matrices

We resolve the Rademacher singularity conjecture: an $n\times n$ matrix with independent uniform $\{-1,1\}$ entries is singular with probability $(2+o(1))n^22^{-n}$. More generally, for an $n\times n$ matrix $M_n$ with independent entries uniform on a fixed set $S\subset\mathbb{R}$ of cardinality $q\ge2$, we prove $\ma...

Xuan-Ang Hu, Ze-Yan Song, Xing-Long Wu · 0 citations

Preprint Sep 2026

Majorizing Measures for Canonical Processes with Log-Concave Tails

Let $Y_1,\ldots,Y_n$ be independent symmetric random variables with log-concave tails. We give a dimension-free characterization of the expected supremum of the canonical process $X_x=\sum_{i=1}^n x_iY_i$ without any $\Delta_2$ or regular-growth assumption on the coordinate tails. The characterization is governed by sc...

Xuan-Ang Hu, Han-Chao Wang, Xing-Long Wu · 2 citations · ⚡2