3 papers
math.PR2017
Polynomial Ensembles and Pólya Frequency Functions
Yanik-Pascal Förster, Mario Kieburg, Holger Kösters
We study several kinds of polynomial ensembles of derivative type which we propose to call Pólya ensembles. These ensembles are defined on the spaces of complex square, complex rec…
math.CA2016
Products of Random Matrices from Polynomial Ensembles
Mario Kieburg, Holger Kösters
Very recently we have shown that the spherical transform is a convenient tool for studying the relation between the joint density of the singular values and that of the eigenvalues…
math.PR2015
Limiting Spectral Distributions of Sums of Products of Non-Hermitian Random Matrices
H. Kösters, A. Tikhomirov
For fixed , let be independent random matrices with independent entries, let $\mathbf{F}_n^…