Jie-Xiang Zhu

activity

20192026

most citedOn optimal matching of Gaussian samples III

2 citations · 2 across the 4 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

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…