Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.15161 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908598789996544 |
|---|---|
| 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 |