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 consider a two-dimensional determinantal point process arising in the random normal
matrix model and which is a two-parameter generalization of the complex Ginibre point …

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 …

We show that the planar normalized orthogonal polynomials $ P_ {m, n}(z) $ of degree $ n $
with respect to an exponentially varying planar measure $\mathrm {e}^{-2mQ}\mathrm {dA} …

This open access book focuses on the Ginibre ensembles that are non-Hermitian random
matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within …

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 …

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 study hole probabilities of two-dimensional Coulomb gases with general potentials and
arbitrary temperature. The hole region $ U $ is assumed to satisfy $\partial U\subset S …