24 citations · 170 across the 26 of their papers we have counts for
26 papers
Free energy of spherical Coulomb gases with point charges
Sung-Soo Byun, Nam-Gyu Kang, Seong-Mi Seo +1
We consider two-dimensional Coulomb gases on the Riemann sphere with determinantal or Pfaffian structures, under external potentials that are invariant under rotations around the a…
Conformal field theory of Gaussian free fields in a multiply connected domain
Tom Alberts, Sung-Soo Byun, Nam-Gyu Kang
We implement a version of conformal field theory (CFT) that gives a connection to SLE in a multiply connected domain. Our approach is based on the Gaussian free field and applies t…
Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Markus Ebke +1
In this article, we compute and compare the statistics of the number of eigenvalues in a centred disc of radius in all three Ginibre ensembles. We determine the mean and varian…
Large deviations and fluctuations of real eigenvalues of elliptic random matrices
Sung-Soo Byun, Leslie Molag, Nick Simm
We study real eigenvalues of real elliptic Ginibre matrices indexed by a non-Hermiticity parameter , in both the strong and weak non-Hermiticity regime. Here…
Progress on the study of the Ginibre ensembles II: GinOE and GinSE
Sung-Soo Byun, Peter J. Forrester
This is part II of a review relating to the three classes of random non-Hermitian Gaussian matrices introduced by Ginibre in 1965. While part I restricted attention to the GinUE (G…
Planar equilibrium measure problem in the quadratic fields with a point charge
Sung-Soo Byun
We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the associated droplets. T…
Progress on the study of the Ginibre ensembles I: GinUE
Sung-Soo Byun, Peter J. Forrester
The Ginibre unitary ensemble (GinUE) consists of random matrices with independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre, who showed…
Determinantal Coulomb gas ensembles with a class of discrete rotational symmetric potentials
Sung-Soo Byun, Meng Yang
We consider determinantal Coulomb gas ensembles with a class of discrete rotational symmetric potentials whose droplets consist of several disconnected components. Under the insert…
Partition functions of determinantal and Pfaffian Coulomb gases with radially symmetric potentials
Sung-Soo Byun, Nam-Gyu Kang, Seong-Mi Seo
We consider random normal matrix and planar symplectic ensembles, which can be interpreted as two-dimensional Coulomb gases having determinantal and Pfaffian structures, respective…
Spherical Induced Ensembles with Symplectic Symmetry
Sung-Soo Byun, Peter J. Forrester
We consider the complex eigenvalues of the induced spherical Ginibre ensemble with symplectic symmetry and establish the local universality of these point processes along the real…
On the almost-circular symplectic induced Ginibre ensemble
Sung-Soo Byun, Christophe Charlier
We consider the symplectic induced Ginibre process, which is a Pfaffian point process on the plane. Let be the number of points. We focus on the almost-circular regime where mo…
Universality of the number variance in rotational invariant two-dimensional Coulomb gases
Gernot Akemann, Sung-Soo Byun, Markus Ebke
An exact map was established by Lacroix-A-Chez-Toine, Majumdar, and Schehr in [44] between the complex eigenvalues of complex non-Hermitian random matrices from the Ginibre ens…
On the characteristic polynomial of the eigenvalue moduli of random normal matrices
Sung-Soo Byun, Christophe Charlier
We study the characteristic polynomial where the are drawn from the Mittag-Leffler ensemble, i.e. a two-dimensional determinantal poin…
The Product of real Ginibre matrices: Real eigenvalues in the critical regime
Gernot Akemann, Sung-Soo Byun
We study the product of real Ginibre matrices with Gaussian elements of size , which has received renewed interest recently. Its eigenvalues, which are either real or…
Random normal matrices in the almost-circular regime
Sung-Soo Byun, Seong-Mi Seo
We study random normal matrix models whose eigenvalues tend to be distributed within a narrow "band" around the unit circle of width proportional to , where is the siz…
Wronskian structures of planar symplectic ensembles
Sung-Soo Byun, Markus Ebke, Seong-Mi Seo
We consider the eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensemble, which are known to form a Pfaffian point process in the plane…
Universal scaling limits of the symplectic elliptic Ginibre ensemble
Sung-Soo Byun, Markus Ebke
We consider the eigenvalues of symplectic elliptic Ginibre matrices which are known to form a Pfaffian point process whose correlation kernel can be expressed in terms of the skew-…
Lemniscate ensembles with spectral singularity
Sung-Soo Byun, Seung-Yeop Lee, Meng Yang
We consider a family of random normal matrix models whose eigenvalues tend to occupy lemniscate type droplets as the size of the matrix increases. Under the insertion of a point ch…
Scaling Limits of Planar Symplectic Ensembles
Gernot Akemann, Sung-Soo Byun, Nam-Gyu Kang
We consider various asymptotic scaling limits for the complex eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensembl…
Real eigenvalues of elliptic random matrices
Sung-Soo Byun, Nam-Gyu Kang, Ji Oon Lee +1
We consider the real eigenvalues of an real elliptic Ginibre matrix whose entries are correlated through a non-Hermiticity parameter . In the almost-He…
Almost-Hermitian random matrices and bandlimited point processes
Yacin Ameur, Sung-Soo Byun
We study the distribution of eigenvalues of almost-Hermitian random matrices associated with the classical Gaussian and Laguerre unitary ensembles. In the almost-Hermitian setting,…
Pole dynamics and an integral of motion for multiple SLE(0)
Tom Alberts, Sung-Soo Byun, Nam-Gyu Kang +1
We describe the Loewner chains of the real locus of a class of real rational functions whose critical points are on the real line. Our main result is that the poles of the rational…
A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality
Gernot Akemann, Sung-Soo Byun, Nam-Gyu Kang
We consider the complex eigenvalues of a Wishart type random matrix model , where two rectangular complex Ginibre matrices of size are correl…
On spike and slab empirical Bayes multiple testing
Ismael Castillo, Etienne Roquain
This paper explores a connection between empirical Bayes posterior distributions and false discovery rate (FDR) control. In the Gaussian sequence model, this work shows that empiri…