2 papers
math.NT2026
Densities of arithmetic Hecke triangle group orbits
Samantha Fairchild, Christopher R. H. Hanusa
We give new proofs computing the asymptotic densities for orbits of the arithmetic Hecke triangle groups when and . We use elementary number theory techniques alo…
math.DS2024
Shrinking rates of horizontal gaps for generic translation surfaces
Jon Chaika, Samantha Fairchild
A translation surface is given by polygons in the plane, with sides identified by translations to create a closed Riemann surface with a flat structure away from finitely many sing…