The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

We study the characteristic polynomial pn (x)=∏ j= 1 n (| zj|-x) where the zj are drawn from
the Mittag–Leffler ensemble, ie a two-dimensional determinantal point process which …

We study the moment generating function of the disk counting statistics of a two-dimensional
determinantal point process which generalizes the complex Ginibre point process. This …

Consider the subspace W n of L 2 (C, d A) consisting of all weighted polynomials W (z)= P
(z)· e-1 2 n Q (z), where P (z) is a holomorphic polynomial of degree at most n-1, Q (z)= Q (z …

We consider the multivariate moment generating function of the disk counting statistics of a
model Mittag-Leffler ensemble in the presence of a hard wall. Let n be the number of points …

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 …

In this article, we study microscopic properties of a two-dimensional Coulomb gas ensemble
near a conical singularity arising from insertion of a point charge in the bulk of the droplet. In …

We consider determinantal Coulomb gas ensembles with a class of discrete rotational
symmetric potentials whose droplets consist of several disconnected components. Under the …

We consider various asymptotic scaling limits $ N\to\infty $ for the $2 N $ complex
eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic …

We obtain large n asymptotics for the m-point moment generating function of the disk
counting statistics of the Mittag–Leffler ensemble, where n is the number of points of the …