Winning games for bounded geodesics in moduli spaces of quadratic differentials
Dynamical Systems
2013-12-16 v3 Number Theory
Abstract
We prove that the set of bounded geodesics in Teichmuller space are a winning set for Schmidt's game. This is a notion of largeness in a metric space that can apply to measure 0 and meager sets. We prove analogous closely related results on any Riemann surface, in any stratum of quadratic differentials, on any Teichmuller disc and for intervals exchanges with any fixed irreducible permutation.
Keywords
Cite
@article{arxiv.1109.5976,
title = {Winning games for bounded geodesics in moduli spaces of quadratic differentials},
author = {Jonathan Chaika and Yitwah Cheung and Howard Masur},
journal= {arXiv preprint arXiv:1109.5976},
year = {2013}
}
Comments
33 pages, 3 figures added (previously none)