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Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields
Authors:Nana Luan  Yimin Xiao
Institution: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
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,
Keywords:
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