5 citations · 15 across the 9 of their papers we have counts for
Showing 2022 · math.DSShow all
3 papers · 2 filters
math.DS2022★ 2 cited
Pairs in discrete lattice orbits with applications to Veech surfaces
Claire Burrin, Samantha Fairchild, Jon Chaika
Let , be two discrete orbits under the linear action of a lattice on the Euclidean plane. We prove a SiegelVeech-type integral formula f…
math.DS2022
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…
math.DS2022★ 5 cited
Counting pairs of saddle connections
J. S. Athreya, S. Fairchild, H. Masur
We show that for almost every translation surface the number of pairs of saddle connections with bounded magnitude of the cross product has asymptotic growth like where the…