Typical \(L^q\)-dimensions of measures

DOI10.1007/S00605-005-0322-3zbMath1080.28006OpenAlexW2011385484MaRDI QIDQ814804

L. Olsen

Publication date: 7 February 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0322-3

zbMATH Keywords

Rényi dimensionmultifractalsBaire categoryresidual set\(L^q\)-dimension

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (10)

Typical behavior of mixed \(L^{\mathbf q}\)-dimensions ⋮ The Hausdorff dimension of graphs of prevalent continuous functions ⋮ Typical Rényi dimensions of measures. The cases: \(q=1\) and \(q=\infty\) ⋮ 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 = ∞ ⋮ Typical upper \(L^q\)-dimensions of measures for \(q\in [0,1\)] ⋮ 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

• On the Frisch-Parisi conjecture
• Fractal measures and their singularities: The characterization of strange sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Typical \(L^q\)-dimensions of measures