Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866917187131801600 |
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| author | Robertson, Donald Dozier, Benjamin |
| author_facet | Robertson, Donald Dozier, Benjamin |
| contents | For every flat surface, almost every flat surface in its $\mathsf{SL}(2,\mathbb{R})$ orbit has the following property: the sequence of its saddle connection lengths in non-decreasing order is uniformly distributed in the unit interval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02979 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits Robertson, Donald Dozier, Benjamin Dynamical Systems For every flat surface, almost every flat surface in its $\mathsf{SL}(2,\mathbb{R})$ orbit has the following property: the sequence of its saddle connection lengths in non-decreasing order is uniformly distributed in the unit interval. |
| title | Uniform distribution of saddle connection lengths in all $\mathsf{SL}(2,\mathbb{R})$ orbits |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.02979 |