Hausdorff dimension of subsets of Moran fractals with prescribed group frequency of their codings

DOI10.1088/0951-7715/16/1/312zbMath1048.28005OpenAlexW2056579692MaRDI QIDQ4801885

Wenxia Li, F. Michel Dekking

Publication date: 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/89fb943a5bfdb47ecc82c48d1dd428412dfe7005

zbMATH Keywords

Hausdorff dimensionMoran fractalsself-similar setsnon-normal numbersBesicovitch-Eggleston sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (11)

Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. IV: Divergence points and packing dimension ⋮ Hausdorff and packing dimensions of non-normal tuples of numbers: non-linearity and divergence points ⋮ The pointwise Hölder spectrum of general self-affine functions on an interval ⋮ Frequencies of digits, divergence points, and Schmidt games ⋮ Dimensions of modified Besicovitch subsets of Moran fractal ⋮ Differentiability and Hölder spectra of a class of self-affine functions ⋮ The equivalence of measures on Moran set in general metric space ⋮ A NOTE ON THE INTERSECTIONS OF THE BESICOVITCH SETS AND ERDŐS–RÉNYI SETS ⋮ An equivalent definition of packing dimension and its application ⋮ Dimensions of subsets of Moran fractals related to frequencies of their codings ⋮ Non‐differentiability points of Cantor functions

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