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 …

We compute the persistence for the 2 D-diffusion equation with random initial condition, ie,
the probability p 0 (t) that the diffusion field, at a given point x in the plane, has not changed …

In this paper, we discuss possible qualitative approaches to the problem of KPZ universality.
Throughout the paper, our point of view is based on the geometrical and dynamical …

We consider n-point sticky Brownian motions: a family of n diffusions that evolve as
independent Brownian motions when they are apart, and interact locally so that the set of …

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 …

An elementary derivation of the Borodin-Sinclair-Forrester-Nagao Pfaffian point process,
which characterises the law of real eigenvalues for the real Ginibre ensemble in the large …

In this paper, we consider the elliptic Ginibre matrices in the orthogonal symmetry class that
interpolates between the real Ginibre ensemble and the Gaussian orthogonal ensemble. We …

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 …

Abstract Let N+\max be the largest real eigenvalue of a random N*N matrix with
independent N(0,1) entries (the “real Ginibre matrix”). We study the large deviations …

Random matrices formed from iid standard real Gaussian entries have the feature that the
expected number of real eigenvalues is non-zero. This property persists for products of such …