Nearly optimal spectral gaps for random Belyi surfaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911471131164672 |
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| author | Shen, Yang Wu, Yunhui |
| author_facet | Shen, Yang Wu, Yunhui |
| contents | In this paper, we show that a random hyperbolic surface in the Brooks-Makover model has a spectral gap greater than $\left(\frac{1}{4}-\left(\frac{1}{n}\right)^{\frac{1}{221}}\right)$, confirming the nearly optimal spectral gap conjecture in this model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nearly optimal spectral gaps for random Belyi surfaces Shen, Yang Wu, Yunhui Spectral Theory Differential Geometry Geometric Topology Representation Theory In this paper, we show that a random hyperbolic surface in the Brooks-Makover model has a spectral gap greater than $\left(\frac{1}{4}-\left(\frac{1}{n}\right)^{\frac{1}{221}}\right)$, confirming the nearly optimal spectral gap conjecture in this model. |
| title | Nearly optimal spectral gaps for random Belyi surfaces |
| topic | Spectral Theory Differential Geometry Geometric Topology Representation Theory |
| url | https://arxiv.org/abs/2511.02517 |