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Dimension d'ensembles plans définis par des propriétés des développements des coordonnées

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Publication:3202185
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DOI10.24033/bsmf.2135zbMath0715.11038OpenAlexW2507177136MaRDI QIDQ3202185

Fathi Ben Nasr

Publication date: 1990

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1990__118_1_55_0


zbMATH Keywords

Hausdorff dimensiondigital problemsradix expansions of coordinates


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78)


Related Items

A dimension associated with a cutting of the square of a Gibbs measure



Cites Work

  • Unnamed Item
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  • Some relations between dimension and Lyapunov exponents
  • Calculs de dimensions de Hausdorff
  • The Hausdorff dimension of general Sierpiński carpets
  • Dimension, entropy and Lyapunov exponents
  • Comparaison de deux notions de dimension
  • Mesures singulières associées à des découpages aléatoires d'un hypercube
  • THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
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