On the average \(L^q\)-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space

DOI10.1016/J.JMAA.2018.09.044zbMath1403.28009OpenAlexW2893482281MaRDI QIDQ1799166

L. Olsen

Publication date: 18 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.044

zbMATH Keywords

Baire categoryHölder meanCesaro mean\(L^q\)-dimensionGromov-Hausdorff-Prohoroff metricGromov-Hausdorff-Prohoroff space

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Fractals (28A80) Spaces of measures, convergence of measures (28A33)

Related Items (2)

Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ On the average L^q-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space. The limiting cases: q = 1 and q = ∞

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