Permanental processes can be viewed as a generalization of squared centered Gaussian
processes. We analyze the connections of these processes with the local time process of …

We study a random positive definite symmetric matrix distributed according to a real Wishart
distribution. We compute general moments of the random matrix and of its inverse explicitly …

This thesis presents the results of the research part of my work during my PhD studies at
Department of Mathematics, Aarhus University. The topic of the thesis is, as the title …

We survey the impact of Lieb's influential paper" Proofs of some conjectures on
permanents"[J. Math. Mech. 16 1966, 127-134], which introduced the famous permanental …

The standard matrix permanent is the solution to a number of combinatorial and graph-
theoretic problems, and the α-weighted permanent is the density function for a class of Cox …

On an annulus A q:={z∈ C: q<| z|< 1} with a fixed q∈(0, 1), we study a Gaussian analytic
function (GAF) and its zero set which defines a point process on A q called the zero point …

In this note we settle two open problems in the theory of permanents by using recent results
from other areas of mathematics. Both problems were recently discussed in Bapat's survey …

We study positive definite functions on noncommuting strict contractions. In particular, we
study functions that induce positive definite Hua-Bellman matrices (ie, matrices of the form …

Existence conditions of permanental distributions are deeply connected to existence
conditions of multivariate negative binomial distributions. The aim of this paper is twofold. It …

An α‐permanental random field is briefly speaking a model for a collection of non‐negative
integer valued random variables with positive associations. Though such models possess …