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math-ph2026
Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study the dissipative spectral form factor (DSFF) at complex time for the complex elliptic Ginibre ensemble with non-Hermiticity parameter . As the matrix…
math.PR2026
Upper tail large deviations for extremal eigenvalues of the real, complex and symplectic elliptic Ginibre matrices
Sung-Soo Byun, Yong-Woo Lee, Seungjoon Oh
We consider the elliptic Ginibre ensembles in the real, complex and symplectic symmetry classes. As the matrix size tends to infinity, we derive the asymptotic behaviour of the upp…