39 citations · 75 across the 7 of their papers we have counts for
7 papers
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…
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…
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^…
Asymptotic Spectra of Matrix-Valued Functions of Independent Random Matrices and Free Probability
F. Götze, H. Kösters, A. Tikhomirov
We investigate the universality of singular value and eigenvalue distributions of matrix valued functions of independent random matrices and apply these general results in several…
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
Michael Baake, Holger Kösters, Robert V. Moody
We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Virág (2009)) for which the autocorrelation and diffraction measures can be calculated expl…
The Entropic Erdős-Kac Limit Theorem
S. G. Bobkov, G. P. Chistyakov, H. Kösters
We prove entropic and total variation versions of the Erdős-Kac limit theorem for the maximum of the partial sums of i.i.d. random variables with densities.
Random point sets and their diffraction
Michael Baake, Holger Koesters
The diffraction of various random subsets of the integer lattice , such as the coin tossing and related systems, are well understood. Here, we go one important step…