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math-ph2026
Three non-Hermitian random matrix universality classes of complex edge statistics: Spacing ratios and distributions
Gernot Akemann, Georg Angermann, Noah Aygün +4
The conjectured three generic local bulk statistics amongst all non-Hermitian random matrix symmetry classes have recently been extended to three generic local edge statistics. We…
math-ph2018
Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
Gernot Akemann, Mario Kieburg, Adam Mielke +1
We consider a parameter dependent ensemble of two real random matrices with Gaussian distribution. It describes the transition between the symmetry class of the chiral Gaussian ort…