Lun Zhang

activity

20092026

most citedSingular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits

88 citations · 390 across the 36 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math-ph2017

Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

Peter J. Forrester, Jesper R. Ipsen, Dang-Zheng Liu +1

In this paper, we highlight the role played by orthogonal and symplectic Harish-Chandra integrals in the study of real-valued matrix product ensembles. By making use of these integ…

math-ph2017★ 1 cited

Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential

Dan Dai, Shuai-Xia Xu, Lun Zhang

We study the Fredholm determinant of an integrable operator acting on the interval $(0, s)$ whose kernel is constructed out of a hierarchy of higher order analogues to the Painlevé…

math.NA2017

Jacobi polynomials on the Bernstein ellipse

Haiyong Wang, Lun Zhang

In this paper, we are concerned with Jacobi polynomials $P_{n}^{(α, β)} (x)$ on the Bernstein ellipse with motivation mainly coming from recent studies of convergence rate of spectral…