38 citations · 95 across the 11 of their papers we have counts for
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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…
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…
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…