Simultaneous Diophantine approximation on the circle and Hausdorff dimension

DOI10.1017/S0305004101004984zbMath0992.11046MaRDI QIDQ2725003

Maurice M. Dodson, H. Dickinson

Publication date: 19 March 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionmetric diophantine approximationdiophantine approximation on manifolds

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Hausdorff and packing measures (28A78) Diophantine approximation in probabilistic number theory (11K60)

Related Items (13)

Intrinsic Diophantine approximation on quadric hypersurfaces ⋮ An inhomogeneous Jarník theorem ⋮ Rational approximation on spheres ⋮ INTRINSIC DIOPHANTINE APPROXIMATION ON GENERAL POLYNOMIAL SURFACES ⋮ Diophantine approximation on polynomial curves ⋮ On intrinsic and extrinsic rational approximation to Cantor sets ⋮ Small values of Weyl sums ⋮ Rational points near manifolds and metric Diophantine approximation ⋮ SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES ⋮ Rational approximation on quadrics: a simplex lemma and its consequences ⋮ Diophantine approximation on rational quadrics ⋮ Extrinsic Diophantine approximation on manifolds and fractals ⋮ Simultaneous Diophantine approximation on manifolds and Hausdorff dimension

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