High genus one part monotone Hurwitz numbers
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912996086775808 |
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| author | Barazer, Simon Louf, Baptiste |
| author_facet | Barazer, Simon Louf, Baptiste |
| contents | We obtain bivariate asymptotics for one part monotone Hurwitz numbers in high genus (i.e. as both the size and the genus go to infinity). To do so, we start with a linear recurrence for these numbers obtained by Do and Chaudhuri. Then, we apply a recent method developped by Elvey-Price, Fang, Wallner and the second author to extract asymptotics from such recurrences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01190 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | High genus one part monotone Hurwitz numbers Barazer, Simon Louf, Baptiste Combinatorics Geometric Topology 05A16, 14N10 We obtain bivariate asymptotics for one part monotone Hurwitz numbers in high genus (i.e. as both the size and the genus go to infinity). To do so, we start with a linear recurrence for these numbers obtained by Do and Chaudhuri. Then, we apply a recent method developped by Elvey-Price, Fang, Wallner and the second author to extract asymptotics from such recurrences. |
| title | High genus one part monotone Hurwitz numbers |
| topic | Combinatorics Geometric Topology 05A16, 14N10 |
| url | https://arxiv.org/abs/2604.01190 |