Typical Rényi dimensions of measures. The cases: \(q=1\) and \(q=\infty\)

DOI10.1016/J.JMAA.2006.09.050zbMath1126.28006OpenAlexW2004937807MaRDI QIDQ878508

N. E. Zubov

Publication date: 26 April 2007

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.2006.09.050

zbMATH Keywords

Baire categoryresidual settypical Rényi dimension

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Fractals (28A80)

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Typical \(L^q\)-dimensions of measures
• A typical measure typically has no local dimension
• Fractal measures and their singularities: The characterization of strange sets

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