Apollonian random manifolds and their bass notes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914201750994944 |
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| author | Hide, Will Petri, Bram Roig-Sanchis, Anna Thomas, Joe |
| author_facet | Hide, Will Petri, Bram Roig-Sanchis, Anna Thomas, Joe |
| contents | We study the spectrum of the Laplacian on two models of random hyperbolic 3-orbifolds, related to the Apollonian group and the super Apollonian group. We determine explicit spectral gaps for these random orbifolds. Moreover, we use our model to investigate the bass note spectrum of the set of hyperbolic 3-orbifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Apollonian random manifolds and their bass notes Hide, Will Petri, Bram Roig-Sanchis, Anna Thomas, Joe Spectral Theory Differential Geometry Geometric Topology Probability 58J50 We study the spectrum of the Laplacian on two models of random hyperbolic 3-orbifolds, related to the Apollonian group and the super Apollonian group. We determine explicit spectral gaps for these random orbifolds. Moreover, we use our model to investigate the bass note spectrum of the set of hyperbolic 3-orbifolds. |
| title | Apollonian random manifolds and their bass notes |
| topic | Spectral Theory Differential Geometry Geometric Topology Probability 58J50 |
| url | https://arxiv.org/abs/2512.13139 |