On a Kurzweil type theorem via ubiquity

DOI10.4064/aa230609-27-1MaRDI QIDQ6547205

Taehyeong Kim

Publication date: 30 May 2024

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

zbMATH Keywords

ubiquityHausdorff measureLebesgue measurezero-one lawinhomogeneous Diophantine approximationbadly approximable numbers

Mathematics Subject Classification ID

Metric theory (11J83) Hausdorff and packing measures (28A78) Inhomogeneous linear forms (11J20)

Cites Work

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• Grids with dense values
• Mass transference principle from rectangles to rectangles in Diophantine approximation
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• On Kurzweil’s 0-1 law in inhomogeneous Diophantine approximation
• Twisted inhomogeneous Diophantine approximation and badly approximable sets
• Measure theoretic laws for lim sup sets
• The shrinking target property of irrational rotations
• Classical metric Diophantine approximation revisited
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
• Hausdorff Dimension in Inhomogeneous Diophantine Approximation
• TRANSFERENCE THEOREMS FOR DIOPHANTINE APPROXIMATION WITH WEIGHTS
• On the metric theory of inhomogeneous diophantine approximations
• A note on well distributed sequences

Related Items (3)

Weighted twisted inhomogeneous Diophantine approximation ⋮ Badly approximable grids and \(k\)-divergent lattices ⋮ \(k\)-divergent lattices

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