Extremal manifolds and Hausdorff dimension

DOI10.1215/S0012-7094-00-10126-3zbMath0973.11073MaRDI QIDQ1976047

H. Dickinson, Maurice M. Dodson

Publication date: 5 December 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ubiquityHausdorff dimensionlower boundLebesgue measureBaker-Sprindzhuk conjectureSprindzhuk's conjectureextremal manifold

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (11)

The Generalized Baker–Schmidt Problem on Hypersurfaces ⋮ Hausdorff theory of dual approximation on planar curves ⋮ A Jarník type theorem for planar curves: everything about the parabola ⋮ DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION ⋮ The density of rational points near hypersurfaces ⋮ A note on simultaneous Diophantine approximation on planar curves ⋮ Rational points near manifolds and metric Diophantine approximation ⋮ SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES ⋮ Inhomogeneous Diophantine approximation on curves and Hausdorff dimension ⋮ Diophantine approximation on rational quadrics ⋮ Non-planarity and metric Diophantine approximation for systems of linear forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Metrische Sätze über simultane Approximation abhängiger Größen
• Metric Diophantine approximation and Hausdorff dimension on manifolds
• Применение размерностн Хаусдорфа в теории диофантовых приближений
• Khintchine-type theorems on manifolds
• Regular and ubiquitous systems, and ‐dense sequences
• Dirichlet's theorem on diophantine approximation
• Diophantine approximation and a lower bound for Hausdorff dimension
• On a metrical theorem of W. Schmidt
• Diophantine Approximation and Hausdorff Dimension

This page was built for publication: Extremal manifolds and Hausdorff dimension