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Multifractal spectra of random self-affine multifractal Sierpinski sponges in $\mathbb{R}^d$

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Publication:2909236
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DOI10.1512/iumj.2011.60.4343zbMath1251.28004OpenAlexW2002117791MaRDI QIDQ2909236

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Publication date: 30 August 2012

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

Full work available at URL: https://doi.org/10.1512/iumj.2011.60.4343

zbMATH Keywords

Hausdorff dimensionlocal dimensionmultifractalsself-affine measuresSierpinski sponges


Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)


Related Items

Gap sequences and Topological properties of Bedford–McMullen sets*, Gap sequences of McMullen sets, The Lq$L^q$ spectrum of self‐affine measures on sponges, The Assouad dimension of randomly generated fractals, On the 𝐿^{𝑞}-spectrum of planar self-affine measures, The box-counting dimension of random box-like self-affine sets, Dimension and measure for typical random fractals



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