Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields |
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Authors: | Nana Luan Yimin Xiao |
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Affiliation: | 1. School of Insurance and Economics, University of International Business and Economics, Beijing, 100029, China 2. Department of Statistics and Probability, Michigan State University, A-413 Wells Hall, East Lansing, MI, 48824, USA
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Abstract: | Let X={X(t),t∈ℝ N } be a Gaussian random field with values in ℝ d defined by X(t) = (X1(t), ?, Xd(t)), t ? mathbbRN,X(t) = (X_1(t), ldots, X_d(t)),quad t in {mathbb{R}}^N, |
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