38 citations · 155 across the 14 of their papers we have counts for
17 papers
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…
Conformal field theory on the Riemann sphere and its boundary version for SLE
Nam-Gyu Kang, Nikolai Makarov
From conformal field theory on the Riemann sphere, we implement its boundary version in a simply-connected domain using the Schottky double construction. We consider the statistica…
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…
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 boundary confinements for the Coulomb gas
Yacin Ameur, Nam-Gyu Kang, Seong-Mi Seo
We introduce a family of boundary confinements for Coulomb gas ensembles, and study them in the two-dimensional determinantal case of random normal matrices. The family interpolate…
Conformal field theory for annulus SLE: partition functions and martingale-observables
Sung-Soo Byun, Nam-Gyu Kang, Hee-Joon Tak
We implement a version of conformal field theory in a doubly connected domain to connect it to the theory of annulus SLE of various types, including the standard annulus SLE, the r…
The random normal matrix model: insertion of a point charge
Yacin Ameur, Nam-Gyu Kang, Seong-Mi Seo
In this article, we study microscopic properties of a two-dimensional eigenvalue ensemble near a conical singularity arising from insertion of a point charge in the bulk of the sup…
Calculus of conformal fields on a compact Riemann surface
Nam-Gyu Kang, Nikolai G. Makarov
We present analytical implementation of conformal field theory on a compact Riemann surface. We consider statistical fields constructed from background charge modifications of the…
Scaling limits of random normal matrix processes at singular boundary points
Yacin Ameur, Nam-Gyu Kang, Nikolai Makarov +1
We give a method for taking microscopic limits of normal matrix ensembles. We apply this method to study the behaviour near certain types of singular points on the boundary of the…
Slit holomorphic stochastic flows and Gaussian free field
Georgy Ivanov, Nam-Gyu Kang, Alexander Vasil'ev
It was realized recently that the chordal, radial and dipolar SLEs are special cases of a general slit holomorphic stochastic flow. We characterize those slit holomorphic stochasti…
Rescaling Ward identities in the random normal matrix model
Yacin Ameur, Nam-Gyu Kang, Nikolai Makarov
We study existence and universality of scaling limits for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward…
Conformal field theory of dipolar SLE with the Dirichlet boundary condition
Nam-Gyu Kang, Hee-Joon Tak
We develop a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirichlet boundary condition and prove that corr…
Conformal field theory of dipolar SLE(4) with mixed boundary condition
Nam-Gyu Kang
We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlat…
Radial SLE martingale-observables
Nam-Gyu Kang, Nikolai Makarov
We implement a version of radial conformal field theory in a family of statistical fields generated by central charge modification of the Gaussian free field and show that the corr…
Gaussian free field and conformal field theory
Nam-Gyu Kang, Nikolai Makarov
In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. We consider statistical…