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On the exact Hausdorff dimension of the set of Liouville numbers

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Publication:1772016
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DOI10.1007/s00229-004-0528-zzbMath1095.28012OpenAlexW4245662002MaRDI QIDQ1772016

L. Olsen

Publication date: 14 April 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0528-z


zbMATH Keywords

Diophantine approximationHausdorff measureLiouville numbers


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)


Related Items (4)

On the exact Hausdorff dimension of the set of Liouville numbers. II ⋮ Sets with large intersection and ubiquity ⋮ Hausdorff measures, dyadic approximations, and the Dobiński set ⋮ Improving dimension estimates for Furstenberg-type sets



Cites Work

  • ON THE DIMENSIONLESSNESS OF INVARIANT SETS
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