1 citations · 3 across the 14 of their papers we have counts for
16 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 $τ\in[…
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 matrix…
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…
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…
-deformation of the Marchenko-Pastur law
Sung-Soo Byun, Yeong-Gwang Jung, Guido Mazzuca
We study a -deformed random unitary ensemble associated with the little- Laguerre weight, which provides a discrete analogue of the classical Laguerre unitary ensemble. In th…
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…
Anomalous free energy expansions of planar Coulomb gases: multi-component and conformal singularity
Sung-Soo Byun
We study the partition function where $c>…
Spectral analysis of -deformed unitary ensembles with the Al-Salam--Carlitz weight
Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh
We study -deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter . In the special c…
On the superintegrability of the Gaussian ensemble and its generalisation
Sung-Soo Byun, Peter J. Forrester
In the present context, superintegrability is a property of certain probability density functions coming from matrix models, which relates to the average over a distinguished basis…
Orthogonal polynomials in the spherical ensemble with two insertions
Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1
We consider asymptotics of planar orthogonal polynomials (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry
The one-component Coulomb gas on the sphere, consisting on unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength pr…
-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
Sung-Soo Byun, Peter J. Forrester, Jaeseong Oh
The eigenvalue probability density function of the Gaussian unitary ensemble permits a -extension related to the discrete -Hermite weight and corresponding -orthogonal pol…
Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE
Sung-Soo Byun, Seong-Mi Seo, Meng Yang
We consider a planar Coulomb gas ensemble of size with the inverse temperature and external potential , where and . Equiv…
Spectral Moments of the real Ginibre ensemble
Sung-Soo Byun, Peter J. Forrester
The moments of the real eigenvalues of real Ginibre matrices are investigated from the viewpoint of explicit formulas, differential and difference equations, and large expansio…
Harer-Zagier type recursion formula for the elliptic GinOE
Sung-Soo Byun
We consider the real eigenvalues of the elliptic Ginibre matrix indexed by the non-Hermiticity parameter , and present a Harer-Zagier type recursion formula for the eve…