Polar functions for anisotropic Gaussian random fields

DOI10.1155/2014/947171zbMath1474.60099OpenAlexW2068699871WikidataQ59043037 ScholiaQ59043037MaRDI QIDQ1725341

Zhen Long Chen

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/947171

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)

Cites Work

• Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
• Operator scaling stable random fields
• Geometric properties of fractional Brownian sheets
• Algebraic sum of the image sets for a random string process
• Intersections and polar functions of fractional Brownian sheets
• Local times of fractional Brownian sheets
• Hitting properties of a random string
• Potential theory for hyperbolic SPDEs.
• Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
• Fractal properties of the random string processes
• Hitting probabilities and the Hausdorff dimension of the inverse images of anisotropic Gaussian random fields
• Two definitions of fractional dimension
• “Polar”-functions for Brownian motion
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