13 papers
Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge
Sung-Soo Byun, Meng Yang, Eui Yoo
We study a determinantal Coulomb gas in the complex plane associated with the external potential where $Ï\…
Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study the dissipative spectral form factor (DSFF) at complex time for the complex elliptic Ginibre ensemble with non-Hermiticity parameter . As the matr…
Numerical ranges of non-normal random matrices: elliptic Ginibre and non-Hermitian Wishart ensembles
Sung-Soo Byun, Joo Young Park
The numerical range of a non-normal matrix plays a central role as a descriptor of non-normal effects beyond spectral information. We study a class of fundamental non-Hermitian ran…
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…
Electrostatic computations for statistical mechanics and random matrix applications
Sung-Soo Byun, Peter J. Forrester
Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we highlight several theoretical results on electrostatics, cho…
Equilibrium measures for higher dimensional rotationally symmetric Riesz gases
Sung-Soo Byun, Peter J. Forrester, Satya N. Majumdar +1
We study equilibrium measures for Riesz gases in dimension with pairwise interaction kernel , subject to radially symmetric external fields. We characterise broad c…