Weighted badly approximable vectors and games

Abstract

We prove that the set of (r_1,r_2,..,r_{d})-badly approximable vectors is a winning set if r_1=r_2=...=r_{d-1}\geq r_{d}.

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References in corpus (3)

• Badly approximable points on manifolds
• Badziahin-Pollington-Velani's theorem and Schmidt's game
• Badly approximable points on planar curves and winning

Cited by in corpus (1)

• Bounded orbits of certain diagonalizable flows on $S{L}_n(\mathbb{R})/S{L}_n(\mathbb{Z})$