Jie-Xiang Zhu

activity

20192026

most citedOn optimal matching of Gaussian samples III

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2026

The Gundy-Stein decomposition with explicit constants

Mahdi Hormozi, Jie-Xiang Zhu

Let $(F_{n})_{n \geq 1}$ be a filtration and let $f \geq 0$ belong to $L^{1} (F_{\infty})$ . For the martingale $f_{n} = E [f ∣ F_{n}]$ and each $λ > 0$ we prove a G…

math.CA2026

Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions

Mahdi Hormozi, Jie-Xiang Zhu

For any $1 < p < q < \infty$ , we investigate fixed-time hypercontractive bounds from $L^{p}$ to $L^{q}$ of Poisson semigroups associated with the Ornstein--Uhlenbeck, Laguerre and Jaco…

math.CA2023

Weak type $(1, 1)$ of Riesz transform on some direct product manifolds with exponential volume growth

Hong-Quan Li, Jie-Xiang Zhu

In this paper we are concerned with the Riesz transform on the direct product manifold $H^{n} \times M$ , where $H^{n}$ is the $n$ -dimensional real hyperbolic spac…

math.PR2019★ 2 cited

On optimal matching of Gaussian samples III

Michel Ledoux, Jie-Xiang Zhu

This article is a continuation of the papers [8,9] in which the optimal matching problem, and the related rates of convergence of empirical measures for Gaussian samples are addres…

math.PR2019★ 1 cited

Limit Theorems in Warsserstein Distance for Empirical Measures of Diffusion Processes on Riemannian Manifolds

Feng-Yu Wang, Jie-Xiang Zhu

Let $M$ be a compact connected Riemannian manifold possibly with a boundary, let $V \in C^{2} (M)$ such that $μ (d x) := e^{V (x)} d x$ is a probability measure, and let ${λ_{i}}_{i \geq 1}$ …

math.PR2019

Some results on the optimal matching problem for the Jacobi model

Jiexiang Zhu

We establish some exact asymptotic results for a matching problem with respect to a family of beta distributions. Let $X_{1}, \dots, X_{n}$ be independent random variables with common…