On some properties of irrational subspaces

DOI10.2478/udt-2022-0002zbMath1493.11107arXiv2107.08084OpenAlexW3183918208MaRDI QIDQ2146244

Vasiliy Neckrasov

Publication date: 16 June 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08084

zbMATH Keywords

\((\alpha, \beta)\)-gamesbadly approximable subspaces

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13)

Cites Work

• Diophantine approximation
• Singular vectors on manifolds and fractals
• Badly approximable systems of affine forms and incompressibility on fractals
• Badly approximable systems of linear forms
• Khintchine's singular Diophantine systems and their applications
• The set of badly approximable vectors is strongly C¹ incompressible
• An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation

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