39 citations · 75 across the 7 of their papers we have counts for
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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…
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…
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.