The self-intersections of a Gaussian random field

DOI10.1016/j.spa.2006.02.005zbMath1107.60016OpenAlexW2071186862MaRDI QIDQ2507597

Rong Mao Zhang, Zheng Yan Lin

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.spa.2006.02.005

zbMATH Keywords

Hausdorff measurelocal timemultiple point\(k\)-multiple times set

Mathematics Subject Classification ID

Strong limit theorems (60F15) Brownian motion (60J65) Sample path properties (60G17)

Cites Work

• A local time analysis of intersections of Brownian paths in the plane
• Self-intersections of random fields
• Occupation densities
• Some local properties of Gaussian vector fields
• Multiple points of trajectories of multiparameter fractional Brownian motion
• New Gaussian estimates for enlarged balls
• 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 measure of trajectories of multiparameter fractional Brownian motion
• On moduli of continuity for local times of Gaussian processes
• The Hausdorff dimension of the level sets of a Gaussian vector field
• Double points of a Gaussian sample path
• Multiple points of a Gaussian vector field
• Functions continuous and singular with respect to a Hausdorff measure
• Multiple points for the sample paths of the symmetric stable process
• Local Times and Sample Function Properties of Stationary Gaussian Processes
• Multiple points for a process in R2 with stable components
• Regularly varying functions
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