4 citations · 10 across the 8 of their papers we have counts for
8 papers
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…
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…
Weights with both absolutely continuous and discrete components: Asymptotics via the Riemann-Hilbert approach
Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1
We study the uniform asymptotics for the orthogonal polynomials with respect to weights composed of both absolutely continuous measure and discrete measure, by taking a special cla…
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…
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…