199 citations · 2.9k across the 99 of their papers we have counts for
99 papers
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…
The Product of real Ginibre matrices: Real eigenvalues in the critical regime
Gernot Akemann, Sung-Soo Byun
We study the product of real Ginibre matrices with Gaussian elements of size , which has received renewed interest recently. Its eigenvalues, which are either real or…
Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer
Gernot Akemann, Adam Mielke, Patricia Päßler
A random matrix representation is proposed for the two-dimensional (2D) Coulomb gas at inverse temperature . For matrices with Gaussian distribution we analytically…