2 citations · 5 across the 7 of their papers we have counts for
7 papers
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…