Mario Kieburg

Additive matrix convolutions of Polya ensembles and polynomial ensembles

Mario Kieburg

Journal article  |  2020  |  Random Matrices: Theory and Applications

Recently, subclasses of polynomial ensembles for additive and multiplicative matrix convolutions were identified which were called..

Polynomial Ensembles and Polya Frequency Functions

Yanik-Pascal Foerster, Mario Kieburg, Holger Koesters

Reference Work  |  2020  |  Journal of Theoretical Probability

Universal eigenvector correlations in quaternionic Ginibre ensembles

Gernot Akemann, Yanik-Pascal Forster, Mario Kieburg

Journal article  |  2020  |  Journal of Physics A: Mathematical and Theoretical

Universal distributions from non-Hermitian perturbation of zero modes.

M Kieburg, A Mielke, M Rud, K Splittorff

Journal article  |  2020  |  Physical Review E

Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribu..

Eigenvalue and eigenvector statistics in time series analysis

P Barucca, M Kieburg, A Ossipov

Reference Work  |  2020  |  EPL (Europhysics Letters)

Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality

Taro Nagao, Gernot Akemann, Mario Kieburg, Ivan Parra

Reference Work  |  2020  |  Journal of Physics A: Mathematical and Theoretical

Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems

Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaz Prosen

Reference Work  |  2019  |  Physical Review Letters

Random matrix approach to three-dimensional QCD with a Chern-Simons term

Takuya Kanazawa, Mario Kieburg, Jacobus JM Verbaarschot

Reference Work  |  2019  |  Journal of High Energy Physics

Multiplicative convolution of real asymmetric and real anti-symmetric matrices

Mario Kieburg, Peter J Forrester, Jesper R Ipsen

Journal article  |  2019  |  Advances in Pure and Applied Mathematics

Abstract The singular values of products of standard complex Gaussian random matrices, or sub-blocks of Haar distribut..

Universal broadening of zero modes: A general framework and identification.

M Kieburg, A Mielke, K Splittorff

Journal article  |  2019  |  Physical Review E

We consider the smallest eigenvalues of perturbed Hermitian operators with zero modes, either topological or system specific. To l..