Billiards in rectangles with barriers
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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 barrier is rational. We also show that as q tends to infinity, the constant in the asymptotic formula tends to the constant for the generic genus 2 flat surface.
Cite
@article{arxiv.math/0107204,
title = {Billiards in rectangles with barriers},
author = {Alex Eskin and Howard Masur and Martin Schmoll},
journal= {arXiv preprint arXiv:math/0107204},
year = {2007}
}