The multifractal structure of stable occupation measure

DOI10.1016/S0304-4149(97)00127-0zbMath0888.28004MaRDI QIDQ1382516

Xiaoyu Hu, S. James Taylor

Publication date: 29 March 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionoccupation measureHausdorff measuremultifractal spectrum

Mathematics Subject Classification ID

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

Related Items (12)

Thick points for spatial Brownian motion: multifractal analysis of occupation measure. ⋮ Multifractal structure of a general subordinator. ⋮ The multifractal structure of the product of two stable occupation measures ⋮ Thick points of two independent stable subordinators ⋮ The multifractal analysis of the occupation measure of a Lévy process ⋮ Multifractal spectra of certain random Gibbs measures ⋮ Thick points of super-Brownian motion ⋮ Logarithmic multifractal spectrum of stable occupation measure ⋮ The fractal structures of the exceptional sets of Lévy processes ⋮ Multifractal structure of the product measure of two independent general subordinators' occupation measures ⋮ The multifractal spectrum of Brownian intersection local times ⋮ Multifractal analysis of the occupation measures of a kind of stochastic processes

Cites Work

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• Uniform local behavior of stable subordinators
• Uniform measure results for the image of subsets under Brownian motion
• The measure theory of random fractals
• The exact hausdorff measure of the zero set of a stable process
• A lower lipschitz condition for the stable subordinator

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