Counting cusp excursions of reciprocal geodesics
Geometric Topology
2024-02-19 v1 Number Theory
Abstract
For a fixed cusp neighborhood (determined by depth D) of the modular surface, we investigate the class of reciprocal geodesics that enter this neighborhood (called a cusp excursion) a fixed number of times.
Cite
@article{arxiv.2402.10437,
title = {Counting cusp excursions of reciprocal geodesics},
author = {Ara Basmajian and Robert Suzzi Valli},
journal= {arXiv preprint arXiv:2402.10437},
year = {2024}
}
Comments
To appear in contermporary mathematics, American Mathematical Society. This paper is dedicated to Ravi S. Kulkarni on his 80th birthday