Combinatorics of the Berezin–Karpelevich integral
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.
Authors
- Jonathan Novak (ORCID: https://orcid.org/0000-0002-0332-5543)
Institutions
- University of California San Diego (US)
Publication Details
- Journal
- Letters in Mathematical Physics
- Published
- 2025-05-14
- DOI
- https://doi.org/10.1007/s11005-025-01939-8
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Directorate for Mathematical and Physical Sciences