Uniform dimension results of multi-parameter stable processes

DOI10.1007/BF02880385zbMath0956.60032OpenAlexW1988440057MaRDI QIDQ1974187

Huonan Lin

Publication date: 24 October 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02880385

zbMATH Keywords

processes with independent incrementsuniform dimensionstable \((N,d,\alpha)\)-process

Mathematics Subject Classification ID

Sample path properties (60G17)

Related Items (1)

Properties of local-nondeterminism of Gaussian and stable random fields and their applications

Cites Work

• A dimension theorem for sample functions of stable processes
• Uniform dimension results for the Brownian sheet
• Path properties of index-\(\beta\) stable fields
• The uniform dimension of the level sets of a Brownian sheet
• Uniform measure results for the image of subsets under Brownian motion
• Uniform dimension results for processes with independent increments
• The measure theory of random fractals
• Sample function properties of multi-parameter stable processes
• Dimension properties of sample paths of self-similar processes
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