Two dimensional badly approximable vectors and Schmidt's game

Details Two dimensional badly approximable vectors and Schmidt's game Two dimensional badly approximable vectors and Schmidt's game

2012-04-16

arxiv.org/abs/1204.3610v1

Mathematics

Number Theory

12 pages

Scientific paper

We prove that for any pair $(s,t)$ of nonnegative numbers with $s+t=1$, the
set of $(s,t)$-badly approximable vectors in $\mathbb{R}^2$ is
$(34\sqrt{2})^{-1}$-winning for Schmidt's game.

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