Bounded geodesics in moduli space

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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 Teichmüller geodesic trajectories.The main tool is quantitative nondivergence of Teichmüller horocycles, due to Minsky and Weiss. This has an application to billiards in rational polygons.
10 pages, LaTeX

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Dynamical Systems, 37D50; 37D40, 32G15

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http://salesiana.dossiersoluciones.com/handle/123456789/66966

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304029
 http://arxiv.org/abs/math/0304029
 IMRN 2004, no. 30, 1551-1560

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arXiv