The length spectrum of random hyperbolic 3-manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866914834042322944 |
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| author | Roig-Sanchis, Anna |
| author_facet | Roig-Sanchis, Anna |
| contents | We study the length spectrum of a model of random hyperbolic 3-manifolds introduced by Petri and Raimbault. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces. We prove that, as the volume tends to infinity, their length spectrum converge in distribution to a Poisson point process on $\mathbb{R}_{\geq0}$, with computable intensity $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04785 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The length spectrum of random hyperbolic 3-manifolds Roig-Sanchis, Anna Geometric Topology Differential Geometry Probability 57K32, 57K31, 60C05 We study the length spectrum of a model of random hyperbolic 3-manifolds introduced by Petri and Raimbault. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces. We prove that, as the volume tends to infinity, their length spectrum converge in distribution to a Poisson point process on $\mathbb{R}_{\geq0}$, with computable intensity $λ$. |
| title | The length spectrum of random hyperbolic 3-manifolds |
| topic | Geometric Topology Differential Geometry Probability 57K32, 57K31, 60C05 |
| url | https://arxiv.org/abs/2311.04785 |