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math.PR2025
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…
math.PR2021★ 9 cited
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…
math.PR2021★ 18 cited
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-…