11 citations · 18 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Spectral moments of complex and symplectic non-Hermitian random matrices
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study non-Hermitian random matrices belonging to the symmetry classes of the complex and symplectic Ginibre ensemble, and present a unifying and systematic framework for analysi…
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]…
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…
Three topological phases of the elliptic Ginibre ensembles with a point charge
Sung-Soo Byun, Eui Yoo
We consider the complex and symplectic elliptic Ginibre matrices of size , conditioned to have a deterministic eigenvalue at with multipl…