On the average L^q-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space. The limiting cases: q = 1 and q = ∞

DOI10.5186/AASFM.2020.4535zbMath1446.28007OpenAlexW3035593431MaRDI QIDQ5118918

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Publication date: 27 August 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2020.4535

zbMATH Keywords

Baire categoryCesàro meanHölder mean\(L^q\)-dimensionGromov-Hausdorff-Prohoroff metricGromov-Hausdorff-Prohoroff space

Mathematics Subject Classification ID

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

Cites Work

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• Essentials of Integration Theory for Analysis
• The multifractal box dimensions of typical measures
• Fractal measures and their singularities: The characterization of strange sets
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• Optimal Transport

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