Hausdorff-type measures of the sample path of Gaussian random fields

DOI10.1007/s10255-005-0270-7zbMath1101.60022OpenAlexW2033981233MaRDI QIDQ2508057

Zhen Long Chen, San-Yang Liu

Publication date: 9 October 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-0270-7

zbMATH Keywords

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Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17)

Cites Work

• Hausdorff measure of the sample paths of Gaussian random fields
• Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields
• Hausdorff-type measures of the sample paths of fractional Brownian motion
• Hausdorff measure of trajectories of multiparameter fractional Brownian motion
• Packing Measure, and its Evaluation for a Brownian Path
• Hausdorff measure of the graph of fractional Brownian motion
• The correct measure function for the graph of a transient stable process
• Sample path properties of processes with stable components
• Sojourn Times and the Exact Hausdorff Measure of the Sample Path for Planar Brownian Motion
• First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
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