The multifractal nature of heterogeneous sums of Dirac masses

DOI10.1017/S0305004107000953zbMath1149.28003OpenAlexW2100115944MaRDI QIDQ3506453

Stéphane Seuret, Julien Barral

Publication date: 13 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004107000953

zbMATH Keywords

Hausdorff dimensionMultifractal spectrumDirac sumsUbiquity

Mathematics Subject Classification ID

Self-similar stochastic processes (60G18) Hausdorff and packing measures (28A78)

Related Items (5)

A pure jump Markov process with a random singularity spectrum ⋮ Multifractal formalism for the inverse of random weak Gibbs measures ⋮ Multifractal analysis for projections of Gibbs and related measures ⋮ The singularity spectrum of the inverse of cookie-cutters ⋮ Inside singularity sets of random Gibbs measures

Cites Work

• Inside singularity sets of random Gibbs measures
• Multifractal dimensions and scaling exponents for stronlgy bounded random cascades
• Sur certaines martingales de Benoit Mandelbrot
• Multifractal analysis of infinite products
• The multifractal nature of Lévy processes
• The multifractal spectrum of statistically self-similar measures
• Multifractal analysis of Choquet capacities
• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• On generalized multiplicative cascades
• Log-infinitely divisible multifractal processes
• Multifractal products of cylindrical pulses
• A multifractal formalism
• Scaling exponents and multifractal dimensions for independent random cascades
• Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
• Completely random measures
• Comparing multifractal formalisms: the neighboring boxes condition
• Combining multifractal additive and multiplicative chaos
• Renewal of singularity sets of random self-similar measures
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Random Self-Similar Multifractals
• The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
• Representation of families of sets by measures, dimension spectra and Diophantine approximation
• On the multifractal analysis of measures
• Continuity of the multifractal spectrum of a random statistically self-similar measure

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