18 citations · 72 across the 6 of their papers we have counts for
6 papers
Universal scaling limits at the spectral singularity of structured random matrices
Markus Ebke, Torben Krüger
The empirical spectral distribution of Hermitian -block random matrices converges to a deterministic density on the real line with a potential atom at the origin as the…
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…
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…
Wronskian structures of planar symplectic ensembles
Sung-Soo Byun, Markus Ebke, Seong-Mi Seo
We consider the eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensemble, which are known to form a Pfaffian point process in the plane…
Universal scaling limits of the symplectic elliptic Ginibre ensemble
Sung-Soo Byun, Markus Ebke
We consider the eigenvalues of symplectic elliptic Ginibre matrices which are known to form a Pfaffian point process whose correlation kernel can be expressed in terms of the skew-…
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…