DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION

DOI10.1112/S0025579317000171zbMath1400.11118arXiv1712.03761OpenAlexW3098659689MaRDI QIDQ4604471

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Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03761

zbMATH Keywords

Diophantine approximationHausdorff dimensionHausdorff measuresnon-degenerate manifoldsapproximating functionsmass transference principleJarnik-type results

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Metric theory (11J83) Hausdorff and packing measures (28A78) Homogeneous approximation to one number (11J04)

Related Items (7)

Quantitative Khintchine in simultaneous approximation ⋮ Simultaneous p-adic Diophantine approximation ⋮ A note on weighted simultaneous Diophantine approximation on manifolds ⋮ Extremal affine subspaces and Khintchine-Jarník type theorems ⋮ Diophantine approximation on curves and the distribution of rational points: contributions to the divergence theory ⋮ A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE

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