Combinatorics of the Berezin-Karpelevich Integral
Mathematical Physics
2024-04-03 v2 Combinatorics
math.MP
Abstract
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 expansion of the Berezin-Karpelevich integral in terms of monotone Hurwitz numbers, and obtain from this certain combinatorial identities.
Cite
@article{arxiv.2207.02460,
title = {Combinatorics of the Berezin-Karpelevich Integral},
author = {Jonathan Novak},
journal= {arXiv preprint arXiv:2207.02460},
year = {2024}
}
Comments
Title changed, exposition improved