The concepts of Wigner time delay and Wigner–Smith matrix allow us to characterise
temporal aspects of a quantum scattering process. The paper reviews the statistical …

We consider the real eigenvalues of the elliptic Ginibre matrix indexed by the non-Hermiticity
parameter τ∈[0, 1], and present a Harer-Zagier type recursion formula for the even moments …

We establish a new connection between moments of n * nn× n random matrices X n and
hypergeometric orthogonal polynomials. Specifically, we consider moments E\rm Tr X_n^-s …

We consider the Laguerre partition function and derive explicit generating functions for
connected correlators with arbitrary integer powers of traces in terms of products of Hahn …

Abstract The random variable 1+ z 1+ z 1 z 2+... appears in many contexts and was shown
by Kesten to exhibit a heavy tail distribution. We consider natural extensions of this variable …

Integer moments of complex Wishart matrices and Hurwitz numbers Page 1 Ann. Inst. Henri
Poincaré Comb. Phys. Interact. 8 (2021), 243–268 DOI 10.4171/AIHPD/103 Integer …

We give a new proof of the equivalence between the dessin partition function and the
partition function of the Laguerre unitary ensemble (LUE), originally found by Ambjørn and …

The β-ensembles of random matrix theory with classical weights have many special
properties. One is that the loop equations specifying the resolvent and corresponding …

Within a random matrix theory approach, we obtain spectral statistics of the Wigner time
delay matrix Q, for arbitrary channels number M and for all symmetry classes, in fact for the …

The statistics of the smallest eigenvalue of Wishart–Laguerre ensemble is important from
several perspectives. The smallest eigenvalue density is typically expressible in terms of …