88 citations · 390 across the 36 of their papers we have counts for
4 papers · 1 filter
Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
Arno B. J. Kuijlaars, Lun Zhang
Akemann, Ipsen and Kieburg recently showed that the squared singular values of products of M rectangular random matrices with independent complex Gaussian entries are distributed a…
Multiple orthogonal polynomials associated with an exponential cubic weight
Walter Van Assche, Galina Filipuk, Lun Zhang
We consider multiple orthogonal polynomials associated with the exponential cubic weight e^{-x^3} over two contours in the complex plane. We study the basic properties of these pol…
A note on the limiting mean distribution of singular values for products of two Wishart random matrices
Lun Zhang
The product of M complex random Gaussian matrices of size N has recently been studied by Akemann, Kieburg and Wei. They showed that, for fixed M and N, the joint probability distri…
Universality and critical behavior in the chiral two-matrix model
Steven Delvaux, Dries Geudens, Lun Zhang
We study the chiral two-matrix model with polynomial potential functions and , which was introduced by Akemann, Damgaard, Osborn and Splittorff. We show that the squared sin…