Horocycle flow at product of two primes
Dynamical Systems
2024-09-26 v1 Number Theory
Abstract
We show that if is a co-compact arithmetic lattice in or then the horocycle orbit of every non-periodic point equidistributes (with respect to Haar measure) when sampled at integers having exactly two prime factors.
Cite
@article{arxiv.2409.16687,
title = {Horocycle flow at product of two primes},
author = {Giovanni Forni and Adam Kanigowski and Maksym Radziwiłł},
journal= {arXiv preprint arXiv:2409.16687},
year = {2024}
}