On badly approximable subspaces

DOI10.4064/aa181016-1-7zbMath1471.11210arXiv1810.07432OpenAlexW3019634500MaRDI QIDQ3298872

Natalia Dyakova

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07432

zbMATH Keywords

Diophantine approximationsbadly approximable linear formssubspaces of linear subspace

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• An `almost all versus no' dichotomy in homogeneous dynamics and Diophantine approximation
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• Diophantine approximation
• Diophantine approximations and diophantine equations
• Quantitative Diophantine approximation on affine subspaces
• Extremal subspaces and their submanifolds
• Badly approximable systems of linear forms
• On Kleinbock's Diophantine result
• An extension of quantitative nondivergence and applications to Diophantine exponents