2 papers
math.DS2001
On the asymptotic quadratic growth rate of saddle connections and periodic orbits on marked flat tori
Martin Schmoll
Asymptotic quadratic growth rates of saddle connections and families of periodic cylinders on translation tori with n marked points are studied. For any marking the existence of li…
math.DS2001
Billiards in rectangles with barriers
Alex Eskin, Howard Masur, Martin Schmoll
We use Ratner's theorem to compute the asymptotics of the number of (cylinders of) periodic trajectories in a rectangle with a barrier, assuming that the location p/q of the barrie…