The random matrix model approach to quantum chromodynamics (QCD) with nonvanishing
chemical potential is reviewed. The general concept using global symmetries is introduced …

We introduce a new non-Hermitian random-matrix model for QCD with a baryon chemical
potential. This model is a direct chiral extension of a previously studied model that …

We consider a planar Coulomb gas ensemble of size $ N $ with the inverse temperature
$\beta= 2$ and external potential $ Q (z)=| z|^ 2-2c\log| za| $, where $ c> 0$ and …

We consider a two-dimensional point process whose points are separated into two disjoint
components by a hard wall, and study the multivariate moment generating function of the …

We study k-point correlators of characteristic polynomials in non-Hermitian ensembles of
random matrices, focusing on the Ginibre and truncated unitary random matrices. Our …

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 compute averages of products and ratios of characteristic polynomials associated with
orthogonal, unitary, and symplectic ensembles of random matrix theory. The …

Duality identities in random matrix theory for products and powers of characteristic
polynomials, and for moments, are reviewed. The structure of a typical duality identity for the …

Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made
based on numerics. It claims that there are only three universality classes, which have all …

We study expectations of powers and correlation functions for characteristic polynomials of
non-Hermitian random matrices. For the-point and-point correlation function, we obtain …