3 papers
math.DS2026
Asymptotics for the number of saddle connections on a slit torus
David Aulicino, Howard Masur
We consider a flat torus with a marked line segment and prove linear asymptotics for closed curves on the torus disjoint from the interior of the line segment. We also consider…
math.DS2026
Counting Saddle Connections on Hyperelliptic Translation Surfaces with a Slit
David Aulicino, Howard Masur, Huiping Pan +1
We consider saddle connections on a translation surface in a hyperelliptic connected component of a stratum that do not intersect the interior of a distinguished saddle connection.…
math.DS2024
Siegel-Veech Constants for Cyclic Covers of Generic Translation Surfaces
David Aulicino, Aaron Calderon, Carlos Matheus +2
We compute the asymptotic number of cylinders, weighted by their area to any non-negative power, on any cyclic branched cover of any generic translation surface in any stratum. Our…