On Kurzweil’s 0-1 law in inhomogeneous Diophantine approximation

DOI10.4064/aa8219-1-2016zbMath1343.11064arXiv1501.04714OpenAlexW1956668537MaRDI QIDQ2804251

Dong Han Kim, Michael Fuchs

Publication date: 28 April 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04714

zbMATH Keywords

shrinking target propertymetric inhomogeneous Diophantine approximation

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (7)

A characterization of bad approximability ⋮ HAUSDORFF DIMENSION OF THE SET APPROXIMATED BY IRRATIONAL ROTATIONS ⋮ A Survey on the Dimension Theory in Dynamical Diophantine Approximation ⋮ Metric number theory of Fourier coefficients of modular forms ⋮ Inhomogeneous Diophantine approximation in the coprime setting ⋮ Historic behaviour vs. physical measures for irrational flows with multiple stopping points ⋮ Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists

Cites Work

• Unnamed Item
• Unnamed Item
• A higher-dimensional Kurzweil theorem for formal Laurent series over finite fields
• On metric Diophantine approximation in the field of formal Laurent series
• On circle rotations and the shrinking target properties
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• A refined Kurzweil type theorem in positive characteristic
• Kurzweil type metrical Diophantine properties in the field of formal Laurent series
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Inhomogeneous Diophantine approximation with general error functions
• Refined shrinking target property of rotations
• Metric inhomogeneous Diophantine approximation on the field of formal Laurent series
• Über die metrische Theorie der diophantischen Approximation
• MIXING IN THE ABSENCE OF THE SHRINKING TARGET PROPERTY
• The shrinking target property of irrational rotations
• Metrical Theorems on Fractional Parts of Sequences
• On the metric theory of inhomogeneous diophantine approximations

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