Bounded geodesics in moduli space

Details Bounded geodesics in moduli space Bounded geodesics in moduli space

2003-04-02

arxiv.org/abs/math/0304029v1

IMRN 2004, no. 30, 1551-1560

Mathematics

Dynamical Systems

10 pages, LaTeX

Scientific paper

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.

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