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arXiv · 2409.16687

Horocycle flow at product of two primes

Giovanni Forni·Adam Kanigowski·Maksym Radziwiłł
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Abstract

We show that if $\Gamma$ is a co-compact arithmetic lattice in $SL(2,\mathbb{R})$ or $\Gamma=SL(2,\mathbb{Z})$ then the horocycle orbit of every non-periodic point $x\in SL(2,\mathbb{R})/\Gamma$ equidistributes (with respect to Haar measure) when sampled at integers having exactly two prime factors.

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Giovanni Forni, Adam Kanigowski, Maksym Radziwiłł. 2024-09-25. Horocycle flow at product of two primes. https://arxiv.org/abs/2409.16687

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