We study the correlators W g, n arising from Orlov–Scherbin 2-Toda tau functions with
rational content-weight G (z), at arbitrary values of the two sets of time parameters …

We express the topological expansion of the Jacobi Unitary Ensemble in terms of triple
monotone Hurwitz numbers. This completes the combinatorial interpretation of the …

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 …

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 …

In this paper, we prove a longstanding conjecture on the asymptotic behavior of a pair of
oscillatory matrix integrals: the Harish-Chandra/Itzykson-Zuber (HCIZ) integral, and the …

In this paper, we show that in the large $ N $ limit two-dimensional Yang-Mills theory with $
U (N) $ gauge group becomes mixed Hurwitz theory, in the sense that the $1/N $ expansion …

Hypergeometric functions of complex matrices were introduced by James in multivariate
statistics. These special functions play many roles in random matrix theory. The main goal of …

Abstract The Littlewood–Richardson process is a discrete random point process arising from
the isotypic decomposition of tensor products of irreducible representations of the linear …

We prove that the BGW and HCIZ integrals admit large N topological expansions for
complex coupling and complex external fields, provided the coupling is sufficiently strong …

The Berezin-Karpelevich integral is a double integral over unitary matrices which plays the
role of the Itzykson-Zuber integral in rectangular matrix models. We obtain a topological …