Dimensions of overlaps of self-similar fractals and self-similar multifractals

DOI10.1512/iumj.2002.51.2186zbMath1026.28010OpenAlexW2030307273MaRDI QIDQ4431126

L. Olsen

Publication date: 13 October 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2002.51.2186

zbMATH Keywords

Hausdorff dimensionHausdorff measureself-similar setopen set conditionoverlapsself-similar measureself-similar multifractalscontracting similaritiesupper box-dimension

Mathematics Subject Classification ID

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

Related Items (2)

The exact rate of convergence of the \(L^q\)-spectra of self-similar measures for \(q<0\) ⋮ A lower bound for the symbolic multifractal spectrum of a self-similar multifractal with arbitrary overlaps

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