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On the exact Hausdorff dimension of the set of Liouville numbers. II

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Publication:818643
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DOI10.1007/s00229-005-0604-zzbMath1126.28007OpenAlexW2135486963WikidataQ56091111 ScholiaQ56091111MaRDI QIDQ818643

L. Olsen, Dave L. Renfro

Publication date: 21 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00229-005-0604-z


zbMATH Keywords

Hausdorff dimensionLiouville numbers


Mathematics Subject Classification ID

Fractals (28A80)


Related Items (4)

Metric results on sumsets and Cartesian products of classes of Diophantine sets ⋮ Sets with large intersection and ubiquity ⋮ Improving dimension estimates for Furstenberg-type sets ⋮ Describability via ubiquity and eutaxy in Diophantine approximation



Cites Work

  • Unnamed Item
  • On the exact Hausdorff dimension of the set of Liouville numbers
  • Borel sets which are null or non-\(\sigma\)-finite for every translation invariant measure
  • Zero–infinity laws in Diophantine approximation
  • On approximation with algebraic numbers of bounded degree
  • ON THE DIMENSIONLESSNESS OF INVARIANT SETS


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