Shuai‐Xia Xu

activity

20132022

most citedCritical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

53 citations · 204 across the 25 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math-ph2017★ 1 cited

Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential

Dan Dai, Shuai-Xia Xu, Lun Zhang

We study the Fredholm determinant of an integrable operator acting on the interval $(0, s)$ whose kernel is constructed out of a hierarchy of higher order analogues to the Painlevé…

math-ph2017★ 17 cited

Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system

Shuai-Xia Xu, Dan Dai

We study Fredholm determinants of the Painlevé II and Painlevé XXXIV kernels. In certain critical unitary random matrix ensembles, these determinants describe special gap probabili…

math-ph2017

Gaussian unitary ensemble with boundary spectrum singularity and $σ$ -form of the Painlevé II equation

Xiao-Bo Wu, Shuai-Xia Xu, Yu-Qiu Zhao

We consider the Gaussian unitary ensemble perturbed by a Fisher-Hartwig singularity simultaneously of both root type and jump type. In the critical regime where the singularity app…

Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential

Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system

Gaussian unitary ensemble with boundary spectrum singularity and σ-form of the Painlevé II equation

Gaussian unitary ensemble with boundary spectrum singularity and $σ$ -form of the Painlevé II equation