199 citations · 2.9k across the 99 of their papers we have counts for
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Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Markus Ebke +1
In this article, we compute and compare the statistics of the number of eigenvalues in a centred disc of radius in all three Ginibre ensembles. We determine the mean and varian…
Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type
Gernot Akemann, Noah Aygün, Tim R. Würfel
We generalise well-known integrals of Ingham-Siegel and Fisher-Hartwig type over the unitary group with respect to Haar measure, for finite and including fixed external…
Universality of the number variance in rotational invariant two-dimensional Coulomb gases
Gernot Akemann, Sung-Soo Byun, Markus Ebke
An exact map was established by Lacroix-A-Chez-Toine, Majumdar, and Schehr in [44] between the complex eigenvalues of complex non-Hermitian random matrices from the Ginibre ens…
The Elliptic Ginibre Ensemble: A Unifying Approach to Local and Global Statistics for Higher Dimensions
G. Akemann, M. Duits, L. D. Molag
The elliptic Ginibre ensemble of complex non-Hermitian random matrices allows to interpolate between the rotational invariant Ginibre ensemble and the Gaussian unitary ensemble of…
Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels
Gernot Akemann, Markus Ebke, Iván Parra
Non-Hermitian random matrices with symplectic symmetry provide examples for Pfaffian point processes in the complex plane. These point processes are characterised by a matrix value…
Universality of local spectral statistics of products of random matrices
Gernot Akemann, Zdzislaw Burda, Mario Kieburg
We derive exact analytical expressions for correlation functions of singular values of the product of Ginibre matrices of size in the double scaling limit $M,N\rightarrow \…