2003/04/02 by Dmitry Kleinbock, Barak Weiss
Mathematics · #math.DS #msc:37D50 #msc:37D40 #msc:32G15
published as IMRN 2004, no. 30, 1551-1560 · 10 pages, LaTeX
arxiv created 2003/04/02 · arxiv updated 2009/11/30
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.