This is part II of a review relating to the three classes of random non-Hermitian Gaussian
matrices introduced by Ginibre in 1965. While part I restricted attention to the GinUE (Ginibre …

This paper is concerned with complex eigenvalues of truncated unitary quaternion matrices
equipped with the Haar measure. The joint eigenvalue probability density function is …

Random matrices from the elliptic Ginibre orthogonal ensemble (GinOE) are a certain linear
combination of a real symmetric, and real anti-symmetric, Gaussian random matrix and …

The moments of the real eigenvalues of real Ginibre matrices are investigated from the
viewpoint of explicit formulas, differential and difference equations, and large N expansions …

We study the real eigenvalue statistics of products of independent real Ginibre random
matrices. These are matrices all of whose entries are real iid standard Gaussian random …

We show how the replica method can be used to compute the asymptotic eigenvalue
spectrum of a real Wishart product matrix. For unstructured factors, this provides a compact …

We study the product P m of m real Ginibre matrices with Gaussian elements of size N,
which has received renewed interest recently. Its eigenvalues, which are either real or come …

Let O be chosen uniformly at random from the group of (N+ L)×(N+ L) orthogonal matrices.
Denote by O˜ the upper-left N× N corner of O, which we refer to as a truncation of O. In this …

We present a null model for single-and multi-layered complex systems constructed using
homogeneous and isotropic random Gaussian maps. By means of a Kac–Rice formalism …

ABSTRACT A truncation of a Haar distributed orthogonal random matrix gives rise to a
matrix whose eigenvalues are either real or complex conjugate pairs, and are supported …