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arXiv:math/0304029 [math.DS]AbstractReferencesReviewsResources

Bounded geodesics in moduli space

Dmitry Kleinbock, Barak Weiss

Published 2003-04-02Version 1

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.

Comments: 10 pages, LaTeX
Journal: IMRN 2004, no. 30, 1551-1560
Categories: math.DS
Subjects: 37D50, 37D40, 32G15
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