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Empirical multifractal moment measures of self-similar measure for \(q<0\)

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Publication:1027749
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DOI10.1007/S00605-008-0563-ZzbMath1177.28015OpenAlexW2061252520MaRDI QIDQ1027749

Jiaqing Xiao, Wu Min

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00605-008-0563-z


zbMATH Keywords

self-similaritymultifractal Hausdorff measuremultifractal packing measureempirical moment measure


Mathematics Subject Classification ID

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





Cites Work

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  • Multifractal decompositions of Moran fractals
  • Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
  • A multifractal formalism
  • On Bandt's tangential distribution for self-similar measures
  • The exact rate of convergence of the \(L^q\)-spectra of self-similar measures for \(q<0\)
  • Existence of L^q dimensions and entropy dimension for self-conformal measures
  • The singularity spectrumf(α) for cookie-cutters
  • Random Self-Similar Multifractals




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