Bounded geodesics in moduli space

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dc.creatorKleinbock, Dmitry
dc.creatorWeiss, Barak
dc.date2003-04-02
dc.date.accessioned2026-07-07T04:56:34Z
dc.date.available2026-07-07T04:56:34Z
dc.descriptionIn 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.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0304029
dc.identifierhttp://arxiv.org/abs/math/0304029
dc.identifierIMRN 2004, no. 30, 1551-1560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66966
dc.subjectDynamical Systems
dc.subject37D50; 37D40, 32G15
dc.titleBounded geodesics in moduli space
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