3 papers
math.PR2025
Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure
Sung-Soo Byun, Kohei Noda
We investigate the real eigenvalues of asymmetric Wishart matrices of size , indexed by the rectangular parameter and the non-Hermiticity parameter $τ\in [0,1]…
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 , indexed by the parameter of asymmetry . In both the strongly and weakly non-Hermitian reg…
math-ph2024
Large gap probabilities of complex and symplectic spherical ensembles with point charges
Sung-Soo Byun, Seongjae Park
We consider eigenvalues of complex and symplectic induced spherical ensembles, which can be realised as two-dimensional determinantal and Pfaffian Coulomb gases on the Riemann…