10 citations · 33 across the 13 of their papers we have counts for
6 papers · 1 filter
Tightness of -Gibbsian line ensembles
Evgeni Dimitrov, Xuan Wu
We develop a black-box theory, which can be used to show that a sequence of Gibbsian line ensembles is tight, provided that the one-point marginals of the lowest labeled curves of…
Determinantal structures for Bessel fields
Lucas Benigni, Pei-Ken Hung, Xuan Wu
A Bessel field is a two-variable random field such that for every , has the law of a…
The Bessel Line Ensemble
Xuan Wu
In this paper, we construct the Bessel line ensemble, a countable collection of continuous random curves. This line ensemble is stationary under horizontal shifts with the Bessel p…
Brownian regularity for the KPZ line ensemble
Xuan Wu
This paper seeks a quantitative comparison between the curves in the KPZ line ensemble [CH16] and a standard Brownian bridge under the vertical and horizontal s…
Convergence of the KPZ line ensemble
Xuan Wu
In this paper we study the KPZ line ensembles under the KPZ scaling. Based on their Gibbs property, we derive quantitative local fluctuation estimates for the scaled KPZ line ensem…
Enhanced Monte Carlo Estimation of the Fisher Information Matrix with Independent Perturbations for Complex Problems
Xuan Wu
The Fisher information matrix provides a way to measure the amount of information given observed data based on parameters of interest. Many applications of the FIM exist in statist…