Xuanang Hu

collaborators

5 papers

math.PR2026

The Optimal Rate in the Averaged Random-Marginal Central Limit Theorem for Log-Concave Measures

Xuanang Hu

Let $X$ be a centered isotropic log-concave random vector in $R^{n}$ . For $I^¸ \in S^{n - 1}$ , let $I^¼_{I^} ¸$ be the law of $⟨ X, I^¸ ⟩$ , and let $I^$ be uniformly distrib…

math.FA2026

Failure of Convex-Hull Bounds under Log-Convex Tails

Xuanang Hu, Hanchao Wang

Fix $0 < r < 1$ , and let $X_{1}, X_{2}, \dots$ be independent symmetric Weibull $(r)$ random variables, that is, \[ \textsf{P}(|X_i|>t)=e^{-t^r},\qquad t\ge 0. \] We prove that there is no co…

math.PR2026

The Dual Majorizing Measure Theorem for Canonical Processes

Xuanang Hu, Vladimir V. Ulyanov, Hanchao Wang

We give a dual, separated-tree formulation of Latala's majorizing measure theorem for canonical processes with log-concave tails. Under the same assumptions as in Latala's characte…

math.PR2026

Uniform Concentration for $I^\pm$ -subexponential Random Operators

Tiankun Diao, Xuanang Hu, Vladimir V. Ulyanov +1

Random matrices acting on structured sets play a fundamental role in high-dimensional geometry, compressed sensing, and randomized algorithms. Existing results primarily focus on s…

math.PR2025

Yiming Chen, Xuanang Hu, Pengtao Li

This paper focuses on the concentration properties of the spectral norm of the normalized Laplacian matrix for ErdÅs-RÃ©nyi random graphs. First, We achieve the optimal bound that…

The Optimal Rate in the Averaged Random-Marginal Central Limit Theorem for Log-Concave Measures

Failure of Convex-Hull Bounds under Log-Convex Tails

The Dual Majorizing Measure Theorem for Canonical Processes

Uniform Concentration for I^±-subexponential Random Operators

On Concentration Inequality of the Laplacian Matrix of ErdÅs-RÃ©nyi Graphs

Uniform Concentration for $I^\pm$ -subexponential Random Operators

On Concentration Inequality of the Laplacian Matrix of ErdÅs-RÃ©nyi Graphs