Peano-Pólya motions, when time is intrinsic or binomial (uniform or multifractal)

DOI10.1007/BF03024410zbMath0922.28006OpenAlexW2098614348MaRDI QIDQ1272406

Stéphane Jaffard, Benoit B. Mandelbrot

Publication date: 19 September 1999

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03024410

zbMATH Keywords

local Hölder exponentfractalmultifractalintrinsic timePeano-Pólya motion

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80)

Related Items (4)

Multifractal analysis of complex random cascades ⋮ Uniform convergence for complex [0,1-martingales] ⋮ Convergence of complex multiplicative cascades ⋮ Pointwise smoothness of space-filling functions

Cites Work

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• Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. VI
• Hölder exponents and box dimension for self-affine fractal functions
• Negative dimensions and Hölders, multifractals and their Hölder spectra, and the role of lateral preasymptotics in science
• Local regularity of nonsmooth wavelet expansions and application to the Polya function
• The differentiability of Polya's function

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