11 citations · 18 across the 9 of their papers we have counts for
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Disc counting statistics of the real Ginibre ensemble
Sung-Soo Byun, Yong-Woo Lee
We study the disc counting statistics of the real Ginibre ensemble, whose spectrum consists of real and non-real eigenvalues, the latter occurring in complex-conjugate pairs. As th…
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…
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…
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles
Sung-Soo Byun, Kohei Noda
Non-Hermitian Wishart matrices were introduced in the context of quantum chromodynamics with a baryon chemical potential. These provide chiral extensions of the elliptic Ginibre en…
Finite size corrections for real eigenvalues of the elliptic Ginibre matrices
Sung-Soo Byun, Yong-Woo Lee
We consider the elliptic Ginibre matrices in the orthogonal symmetry class that interpolates between the real Ginibre ensemble and the Gaussian orthogonal ensemble. We obtain the f…