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.GT2024
Lengths of saddle connections on random translation surfaces of large genus
Howard Masur, Kasra Rafi, Anja Randecker
We determine the distribution of the number of saddle connections on a random translation surface of large genus. More specifically, for genus tending to infinity, the number o…