Multifractal structure of a general subordinator.

DOI10.1016/S0304-4149(00)00004-1zbMath1045.60081MaRDI QIDQ1877515

James S. Taylor, Xiaoyu Hu

Publication date: 7 September 2004

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

zbMATH Keywords

Hausdorff dimensionmultifractal structurethin pointsgeneral subordinator

Mathematics Subject Classification ID

Local time and additive functionals (60J55)

Related Items (7)

Multifractal analysis of superprocesses with stable branching in dimension one ⋮ Thick points of two independent stable subordinators ⋮ Hölder index at a given point for density states of super-\(\alpha \)-stable motion of index \(1+\beta \) ⋮ Uniform dimension results for the inverse images of symmetric Lévy processes ⋮ The multifractal analysis of the occupation measure of a Lévy process ⋮ The fractal structures of the exceptional sets of Lévy processes ⋮ Multifractal structure of the product measure of two independent general subordinators' occupation measures

Cites Work

• Uniform local behavior of stable subordinators
• The packing measure of a general subordinator
• The multifractal structure of stable occupation measure
• Logarithmic multifractal spectrum of stable occupation measure
• Slow points and fast points of local times
• Thick points for spatial Brownian motion: multifractal analysis of occupation measure.
• Limsup random fractals
• The Hausdorff dimension of the sample path of a subordinator
• Packing and covering indices for a general Lévy process
• Uniform dimension results for processes with independent increments
• Sample path properties of processes with stable components
• Lower functions for increasing random walks and subordinators
• Uniform lower functions for subordinators

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