Counting statistics for geodesics on flat surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916654478262272 |
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| author | Cantrell, Stephen Pollicott, Mark |
| author_facet | Cantrell, Stephen Pollicott, Mark |
| contents | We study counting limit laws that compare length functions on infinite graphs. We then apply these results to flat surfaces to obtain a statistical comparison between the geometric length and the number of singularities visited by geodesic paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13091 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting statistics for geodesics on flat surfaces Cantrell, Stephen Pollicott, Mark Dynamical Systems Geometric Topology Probability We study counting limit laws that compare length functions on infinite graphs. We then apply these results to flat surfaces to obtain a statistical comparison between the geometric length and the number of singularities visited by geodesic paths. |
| title | Counting statistics for geodesics on flat surfaces |
| topic | Dynamical Systems Geometric Topology Probability |
| url | https://arxiv.org/abs/2503.13091 |