53 citations · 108 across the 26 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
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…
On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities
Shuai-Xia Xu, Shu-Quan Zhao, Yu-Qiu Zhao
We consider the determinantal point process with the confluent hypergeometric kernel. This process is a universal point process in random matrix theory and describes the distributi…
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…
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…
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 $…
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…
Gaussian unitary ensemble with boundary spectrum singularity and -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…
Painlevé III asymptotics of Hankel determinants for a perturbed Jacobi weight
Zhao-Yun Zeng, Shuai-Xia Xu, Yu-Qiu Zhao
We study the Hankel determinants associated with the weight where , , , is analytic in a domain containin…
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…
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…