38 citations · 95 across the 11 of their papers we have counts for
11 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…
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…
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…
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…
Edge behavior of two-dimensional Coulomb gases near a hard wall
Seong-Mi Seo
We consider a two-dimensional Coulomb gas confined to a disk when the external potential is radially symmetric. In the presence of a hard-wall constraint effective to change the eq…
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…
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…
Microscopic densities and Fock-Sobolev spaces
Yacin Ameur, Seong-Mi Seo
We study two-dimensional eigenvalue ensembles close to certain types of singular points in the bulk of the droplet. We prove existence of a microscopic density which quickly approa…
On bulk singularities in the random normal matrix model
Yacin Ameur, Seong-Mi Seo
We extend the method of rescaled Ward identities of Ameur-Kang-Makarov to study the distribution of eigenvalues close to a bulk singularity, i.e. a point in the interior of the dro…
Edge scaling limit of the spectral radius for random normal matrix ensembles at hard edge
Seong-Mi Seo
We investigate a random normal matrix model with eigenvalues forced to be in the droplet, the support of the equilibrium measure associated with an external field. For radially sym…