Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917334803808256 |
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| author | Li, Xiang |
| author_facet | Li, Xiang |
| contents | In [14] we found the large genus asymptotics of Hurwitz numbers for the Riemann sphere with a fixed number of general profiles and some (2,1^{d-2}) profiles. In this paper, motivated from [3], we generalize these results to Hurwitz numbers of an arbitrary compact Riemann surface with a fixed number of general profiles and some (r,1^{d-r}) profiles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11614 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers Li, Xiang Combinatorics Mathematical Physics In [14] we found the large genus asymptotics of Hurwitz numbers for the Riemann sphere with a fixed number of general profiles and some (2,1^{d-2}) profiles. In this paper, motivated from [3], we generalize these results to Hurwitz numbers of an arbitrary compact Riemann surface with a fixed number of general profiles and some (r,1^{d-r}) profiles. |
| title | Upper bound of some character ratios and large genus asymptotic behavior of Hurwitz numbers |
| topic | Combinatorics Mathematical Physics |
| url | https://arxiv.org/abs/2603.11614 |