2 papers
math.GT2025
Counting Reciprocal Hyperbolic Elements in Hecke Groups
Ara Basmajian, Blanca Marmolejo, Robert Suzzi Valli
A reciprocal geodesic on a (2,k, ) Hecke surface is a geodesic loop based at an even order cone point p traversing its path an even number of times. Associated to each reci…
math.GT2024
Counting cusp excursions of reciprocal geodesics
Ara Basmajian, Robert Suzzi Valli
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…