Yuqiu Zhao

activity

20132025

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

53 citations · 108 across the 26 of their papers we have counts for

collaborators

Showing 2014Show all

5 papers · 1 filter

math.CV2014

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…

math-ph2014

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 $w (x; t) = (1 - x^{2})^{β} (t^{2} - x^{2})^{α} h (x), x \in (- 1, 1),$ where $β > - 1$ , $α + β > - 1$ , $t > 1$ , $h (x)$ is analytic in a domain containin…

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.CA2014★ 4 cited

Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

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

In this paper, we consider the Hankel determinants associated with the singularly perturbed Laguerre weight $w (x) = x^{α} e^{- x - t / x}$ , $x \in (0, \infty)$ , $t > 0$ and $α > 0$ . When the matr…

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 $t > 1$ . For fixed $t$ , this is the modified Jacobi ensemble studied by Kuijlaars {\it{et al.}} The main…