Negative dimensions and Hölders, multifractals and their Hölder spectra, and the role of lateral preasymptotics in science

zbMath0887.28004MaRDI QIDQ1378975

Benoit B. Mandelbrot

Publication date: 14 May 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

embeddingHausdorff dimensionfractalsmultifractalsHölder exponentfractal dimensionsmultifractal spectrumHausdorff-Besicovitch dimensiondegree of emptiness of an empty setELNA dimensionsentropylike but nonaveragedHölder spectrumnegative dimensionsupersampling

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Large deviations (60F10) Random measures (60G57) Fractals (28A80)

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