Combinatorics of the Berezin-Karpelevich Integral
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913294034403328 |
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| author | Novak, Jonathan |
| author_facet | Novak, Jonathan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_02460 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Combinatorics of the Berezin-Karpelevich Integral Novak, Jonathan Mathematical Physics Combinatorics 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. |
| title | Combinatorics of the Berezin-Karpelevich Integral |
| topic | Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2207.02460 |