Full Resolution to Papikian's Conjecture
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908598789996544 |
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| author | Vollrath, Paul |
| author_facet | Vollrath, Paul |
| contents | We prove Papikian's conjecture on the spectrum of the signed up-down walk on the spherical building. Namely, we show that in the spherical building of dimension n-2 and thickness q + 1, the number of distinct eigenvalues is independent of q and for q going to infinity the positive eigenvalues converge to n-1, ... , n-i. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Full Resolution to Papikian's Conjecture Vollrath, Paul Combinatorics We prove Papikian's conjecture on the spectrum of the signed up-down walk on the spherical building. Namely, we show that in the spherical building of dimension n-2 and thickness q + 1, the number of distinct eigenvalues is independent of q and for q going to infinity the positive eigenvalues converge to n-1, ... , n-i. |
| title | Full Resolution to Papikian's Conjecture |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.15161 |