Equidistribution of partial coverings defined from closed geodesics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929712013508608 |
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| author | Nordentoft, Asbjørn Christian Tan, Ser Peow |
| author_facet | Nordentoft, Asbjørn Christian Tan, Ser Peow |
| contents | Given a finite volume hyperbolic surface, a fundamental polygon and an oriented closed geodesic, we associate a partial covering of the surface. We prove that given a sequence of collections of oriented closed geodesics equidistributing in the unit tangent bundle then the associated partial coverings also equidistribute. In the case of the modular group, this yields an alternative proof of an equidistribution result due to Duke, Imamoglu, and Tóth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equidistribution of partial coverings defined from closed geodesics Nordentoft, Asbjørn Christian Tan, Ser Peow Geometric Topology Dynamical Systems Number Theory Given a finite volume hyperbolic surface, a fundamental polygon and an oriented closed geodesic, we associate a partial covering of the surface. We prove that given a sequence of collections of oriented closed geodesics equidistributing in the unit tangent bundle then the associated partial coverings also equidistribute. In the case of the modular group, this yields an alternative proof of an equidistribution result due to Duke, Imamoglu, and Tóth. |
| title | Equidistribution of partial coverings defined from closed geodesics |
| topic | Geometric Topology Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2502.08472 |