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Dimension Results for Space-anisotropic Gaussian Random Fields

作者:Wen; Qing; NI; Zhen; Long; CHEN; Wei; ...hausdorffdimensionpackinggaussianrandomfielduniform

摘要:Let X = {X(t) ∈ R^d, t ∈ R^N} be a centered space-anisotropic Gaussian random field whose components satisfy some mild conditions. By introducing a new anisotropic metric in R^d, we obtain the Hausdorff and packing dimension in the new metric for the image of X. Moreover, the Hausdorff dimension in the new metric for the image of X has a uniform version.

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