output
20132025
most citedCritical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

53 citations

22 papers

physics.ins-det2025

Performance Characterization of a Plastic-Scintillator Sensor for Fast-Neutron, Thermal-Neutron, and Gamma-Ray Discrimination

Yuhang Liu, Fengpeng An, Guang Luo +4

Discrimination of fast neutrons, thermal neutrons, and rays in mixed radiation fields is important for radiation monitoring, reactor-related measurements, and background suppre…

math-ph2025★ 1 cited

Asymptotics of Fredholm determinant solutions of the noncommutative Painlevé II equation

Jia-Hao Du, Shuai-Xia Xu, Yu-Qiu Zhao

In this paper, we study the asymptotic behavior of a family of pole-free solutions to the noncommutative Painlevé II equation. These particular solutions can be expressed in terms…

math-ph2025

Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition

Zhi-Xuan Meng, Shuai-Xia Xu, Yu-Qiu Zhao

In the present paper, we study the time-dependent correlation function of the one-dimensional impenetrable Bose gas, which can be expressed in terms of the Fredholm determinant of…

math-ph2025

Asymptotics of the partition function of the perturbed Gross-Witten-Wadia unitary matrix model

Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao

We consider the asymptotics of the partition function of the extended Gross-Witten-Wadia unitary matrix model by introducing an extra logarithmic term in the potential. The partiti…

math-ph2024★ 1 cited

Asymptotics of the determinant of the modified Bessel functions and the second Painlevé equation

Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao

In the paper, we consider the extended Gross-Witten-Wadia unitary matrix model by introducing a logarithmic term in the potential. The partition function of the model can be expres…

math-ph2023★ 1 cited

Asymptotics of the deformed higher order Airy-kernel determinants and applications

Jun Xia, Yi-Fan Hao, Shuai-Xia Xu +2

We study the one-parameter family of Fredholm determinants , , where stands for the integral operator acting on $L…

math-ph2023★ 2 cited

Clarkson-McLeod solutions of the fourth Painlevé equation and the parabolic cylinder-kernel determinant

Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao

The Clarkson-McLeod solutions of the fourth Painlevé equation behave like as , where is some real constant and $D_{α-\fr…

math-ph2022★ 7 cited

Gap probability for the hard edge Pearcey process

Dan Dai, Shuai-Xia Xu, Lun Zhang

The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. This paper deals with the gap probability for the thinned/unthinned hard edge P…

math-ph2022★ 6 cited

Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation

Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao

We consider the Clarkson-McLeod solutions of the fourth Painlevé equation. This family of solutions behave like as , where $…

nlin.SI2022★ 9 cited

Laguerre Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé V System

Shulin Lyu, Yang Chen, Shuai-Xia Xu

We study the Hankel determinant generated by the Laguerre weight with jump discontinuities at . By employing the ladder operator approach to establish Riccati eq…

math.CA2021

Isomonodromy sets of accessory parameters for Heun class equations

Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao

In this paper, we consider the monodromy and, in particularly, the isomonodromy sets of accessory parameters for the Heun class equations. We show that the Heun class equations can…

math.CA2020★ 15 cited

Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems

Xiao-Bo Wu, Shuai-Xia Xu

We study the orthogonal polynomials and the Hankel determinants associated with Gaussian weight with two jump discontinuities. When the degree is finite, the orthogonal polynom…

math-ph2020★ 19 cited

Asymptotics of Fredholm determinant associated with the Pearcey kernel

Dan Dai, Shuai-Xia Xu, Lun Zhang

The Pearcey kernel is a classical and universal kernel arising from random matrix theory, which describes the local statistics of eigenvalues when the limiting mean eigenvalue dens…

math-ph2019★ 16 cited

Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system

Shuai-Xia Xu, Yu-Qiu Zhao

We consider the circular unitary ensemble with a Fisher-Hartwig singularity of both jump type and root type at . A rescaling of the ensemble at the Fisher-Hartwig singularity…

math-ph2018★ 9 cited

Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations

Dan Dai, Shuai-Xia Xu, Lun Zhang

In this paper, we study the singularly perturbed Gaussian unitary ensembles defined by the measure \begin{equation*} \frac{1}{C_n} e^{- n\textrm{tr}\, V(M;λ,\vec{t}\;)}dM, \end{equ…

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 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.CA2015

Hankel determinants for a singular complex weight and the first and third Painlevé transcendents

Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao

In this paper, we consider polynomials orthogonal with respect to a varying perturbed Laguerre weight for and on certain contours in the complex pl…

math.CA2014

Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1

In this paper, we develop the Riemann-Hilbert method to study the asymptotics of discrete orthogonal polynomials on infinite nodes with an accumulation point. To illustrate our met…

math-ph2014★ 9 cited

Critical edge behavior in the modified Jacobi ensemble and Painlevé equations

Shuai-Xia Xu, Yu-Qiu Zhao

We study the Jacobi unitary ensemble perturbed by an algebraic singularity at . For fixed , this is the modified Jacobi ensemble studied by Kuijlaars {\it{et al.}} The main…

math.CA2013★ 7 cited

Asymptotics of Landau constants with optimal error bounds

Yutian Li, Saiyu Liu, Shuaixia Xu +1

We study the asymptotic expansion for the Landau constants where , $…

math-ph2013★ 53 cited

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

Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao

In this paper, we study the singularly perturbed Laguerre unitary ensemble with , $x\in (0…