Joint partial equidistribution of Farey rays in negatively curved manifolds and trees
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917840903208960 |
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| author | Parkkonen, Jouni Paulin, Frédéric |
| author_facet | Parkkonen, Jouni Paulin, Frédéric |
| contents | We prove a joint partial equidistribution result for common perpendiculars with given density on equidistributing equidistant hypersurfaces, towards a measure supported on truncated stable leaves. We recover a result of Marklof on the joint partial equidistribution of Farey fractions at a given density, and give several analogous arithmetic applications, including in Bruhat-Tits trees. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2212_09123 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Joint partial equidistribution of Farey rays in negatively curved manifolds and trees Parkkonen, Jouni Paulin, Frédéric Dynamical Systems Number Theory 37D40, 53C22, 11N45, 20G20, 28A33, 51M10, 57K32, 20E08 We prove a joint partial equidistribution result for common perpendiculars with given density on equidistributing equidistant hypersurfaces, towards a measure supported on truncated stable leaves. We recover a result of Marklof on the joint partial equidistribution of Farey fractions at a given density, and give several analogous arithmetic applications, including in Bruhat-Tits trees. |
| title | Joint partial equidistribution of Farey rays in negatively curved manifolds and trees |
| topic | Dynamical Systems Number Theory 37D40, 53C22, 11N45, 20G20, 28A33, 51M10, 57K32, 20E08 |
| url | https://arxiv.org/abs/2212.09123 |