Dimension Bound for Badly Approximable Grids

DOI10.1093/imrn/rnx330zbMath1447.28009arXiv1706.09600OpenAlexW2964176074MaRDI QIDQ5206102

Nicolas de Saxcé, Uri Shapira, Seonhee Lim

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09600

zbMATH Keywords

gridgeometry of numbershomogeneous dynamics

Mathematics Subject Classification ID

Fractals (28A80) Homogeneous flows (37A17)

Related Items (4)

Hausdorff measure of sets of Dirichlet non-improvable affine forms ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields ⋮ Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

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