Horocycle flow at product of two primes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914956936478720 |
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| author | Forni, Giovanni Kanigowski, Adam Radziwiłł, Maksym |
| author_facet | Forni, Giovanni Kanigowski, Adam Radziwiłł, Maksym |
| contents | We show that if $Γ$ is a co-compact arithmetic lattice in $SL(2,\mathbb{R})$ or $Γ=SL(2,\mathbb{Z})$ then the horocycle orbit of every non-periodic point $x\in SL(2,\mathbb{R})/Γ$ equidistributes (with respect to Haar measure) when sampled at integers having exactly two prime factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Horocycle flow at product of two primes Forni, Giovanni Kanigowski, Adam Radziwiłł, Maksym Dynamical Systems Number Theory We show that if $Γ$ is a co-compact arithmetic lattice in $SL(2,\mathbb{R})$ or $Γ=SL(2,\mathbb{Z})$ then the horocycle orbit of every non-periodic point $x\in SL(2,\mathbb{R})/Γ$ equidistributes (with respect to Haar measure) when sampled at integers having exactly two prime factors. |
| title | Horocycle flow at product of two primes |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2409.16687 |