2 papers
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-ph2026
Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory
Gernot Akemann, Georg Angermann, Mario Kieburg +1
Explicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group…