Mathematics – Dynamical Systems
Scientific paper
2011-09-27
Mathematics
Dynamical Systems
12 pages, no figures
Scientific paper
We prove that for the flat surface defined by a holomorphic quadratic
differential the set of directions such that the corresponding Teichmueller
geodesic lies in a compact set in the corresponding stratum is a winning set in
Schmidt game. This generalizes a classical result in the case of the torus due
to Schmidt and strengthens a result of Kleinbock and Weiss.
Chaika Jonathan
Cheung Yitwah
Masur Howard
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