Uniform dimension results for Gaussian random fields

DOI10.1007/s11425-009-0103-xzbMath1205.60078OpenAlexW2018757324MaRDI QIDQ1042980

Yimin Xiao, Dong Sheng Wu

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-009-0103-x

zbMATH Keywords

imageHausdorff dimensionsectorial local nondeterminismanisotropic Gaussian random fieldsoperator-self-similar random fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Sample path properties (60G17) Fractals (28A80)

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Hitting probabilities and intersections of time-space anisotropic random fields ⋮ Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields ⋮ On intersections of independent space-time anisotropic Gaussian fields ⋮ A uniform dimension result for two-dimensional fractional multiplicative processes ⋮ Dimension results for space-anisotropic Gaussian random fields ⋮ Packing dimension of space-time anisotropic Gaussian random fields ⋮ Dimensions of fractional Brownian images

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