15 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
Asymptotics of recurrence coefficients for the Laguerre weight with a singularity at the edge
Xiao-Bo Wu
In this paper, We study the asymptotics of the leading coefficients and the recurrence coefficients for the orthogonal polynomials with repect to the Laguerre weight with singulari…
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…
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…
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…