Transfinite multifractal dimension spectrums

DOI10.1090/S0002-9947-96-01622-4zbMath0862.28006MaRDI QIDQ4717110

Stanley C. Williams

Publication date: 21 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

martingalesmultifractalsrandom measuresdimension spectramultispectral decomposition of Borel measures

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Random measures (60G57) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

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• Multiplications aléatoires et dimensions de Hausdorff. (Random multiplications and Hausdorff dimensions)
• Positive martingales and random measures
• Multifractal dimensions and scaling exponents for stronlgy bounded random cascades
• Sur certaines martingales de Benoit Mandelbrot
• A multifractal formalism
• The Hausdorff Dimension Distribution of Finite Measures in Euclidean Space
• Two definitions of fractional dimension
• A general decomposition theory for random cascades
• Décomposition des mesures selon la dimension
• A representation theorem for the second dual of C[0,1]
• On the multifractal analysis of measures

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