Typical upper \(L^q\)-dimensions of measures for \(q\in [0,1]\)

DOI10.1016/j.bulsci.2007.09.003zbMath1183.28015OpenAlexW2079384390MaRDI QIDQ950539

L. Olsen

Publication date: 30 October 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.09.003

zbMATH Keywords

fractal measures\(L^q\)-dimensionsMultifractals

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (8)

Typical behavior of mixed \(L^{\mathbf q}\)-dimensions ⋮ The Hausdorff dimension of graphs of prevalent continuous functions ⋮ Prevalent mixed Hölder spectra and mixed multifractal formalism in a product of continuous Besov spaces ⋮ On the average L^q-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space. The limiting cases: q = 1 and q = ∞ ⋮ PrevalentL^q-dimensions of measures ⋮ \(T^{[p}\)-formalism in Besov spaces] ⋮ On the average \(L^q\)-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space ⋮ On the average L^q-dimensions of typical measures

Cites Work

• The infinite number of generalized dimensions of fractals and strange attractors
• Typical \(L^q\)-dimensions of measures
• On the Frisch-Parisi conjecture
• A typical measure typically has no local dimension
• Fractal measures and their singularities: The characterization of strange sets
• Conjecture de Frisch et Parisi et généricité des fonctions multifractales
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