Dimension estimates for sets of uniformly badly approximable systems of linear forms

DOI10.1142/S1793042115500876zbMath1352.37008arXiv1311.5474OpenAlexW2963204479MaRDI QIDQ3451550

Ryan Broderick, Dmitry Kleinbock

Publication date: 17 November 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5474

zbMATH Keywords

linear formsSchmidt's gamehomogeneous dynamicsbadly approximable

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Homogeneous flows (37A17)

Related Items (4)

A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation ⋮ Jarník-type inequalities ⋮ Dimension estimates for the set of points with non-dense orbit in homogeneous spaces ⋮ On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms

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• Escape rates for Gibbs measures
• Jarník-type inequalities
• The set of badly approximable vectors is strongly C¹ incompressible

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