Bounded geodesics in moduli space
Dynamical Systems
2007-05-23 v1
Abstract
In the moduli space of quadratic differentials over complex structures on a surface, we construct a set of full Hausdorff dimension of points with bounded Teichm\"uller geodesic trajectories.The main tool is quantitative nondivergence of Teichm\"uller horocycles, due to Minsky and Weiss. This has an application to billiards in rational polygons.
Cite
@article{arxiv.math/0304029,
title = {Bounded geodesics in moduli space},
author = {Dmitry Kleinbock and Barak Weiss},
journal= {arXiv preprint arXiv:math/0304029},
year = {2007}
}
Comments
10 pages, LaTeX