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Cite Journal: Duke Mathematical Journal |  Publication Date: Feb 1, 2016 |
 Citations: 44 |
We prove that for any pair $(s,t)$ of nonnegative numbers with $s+t=1$, the set of two-dimensional $(s,t)$-badly approximable vectors is winning for Schmidt's game. As a consequence, we give a direct proof of Schmidt's conjecture using his game.
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