HAUSDORFF DIMENSION OF THE SET APPROXIMATED BY IRRATIONAL ROTATIONS

DOI10.1112/S0025579317000523zbMath1428.11139arXiv1609.08724OpenAlexW2748499894MaRDI QIDQ4604501

Dong Han Kim, Michał Rams, Bao-Wei Wang

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08724

zbMATH Keywords

Diophantine approximationHausdorff dimensionmass transference principle

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory (11J83) Hausdorff and packing measures (28A78) Distribution modulo one (11J71)

Related Items (2)

Dynamically defined subsets of generic self-affine sets* ⋮ A general mass transference principle

Cites Work

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• On circle rotations and the shrinking target properties
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• On Kurzweil’s 0-1 law in inhomogeneous Diophantine approximation
• Inhomogeneous Diophantine approximation with general error functions
• Refined shrinking target property of rotations
• A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION
• A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION
• On the metric theory of inhomogeneous diophantine approximations

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