11 citations · 18 across the 9 of their papers we have counts for
11 papers
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…
Confinement transitions in half-space constrained Riesz gases
Sung-Soo Byun, Yong-Woo Lee, Eui Yoo
We study a Riesz gas with interaction parameter in an arbitrary spatial dimension , confined to a half-space by a hard wall. We prove that the equilibrium measur…
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…
Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Kohei Noda
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with indepe…
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…
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…