Yong-Woo Lee

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math.PR2026

Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices

Sung-Soo Byun, Jonas Jalowy, Yong-Woo Lee +1

We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the…

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…

math.PR2025

The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble

Gernot Akemann, Sung-Soo Byun, Yong-Woo Lee

We investigate real eigenvalues of real elliptic Ginibre matrices of size $n$ , indexed by the parameter of asymmetry $I ¨ \in [0, 1]$ . In both the strongly and weakly non-Hermitian re…