Packing dimension results for anisotropic Gaussian random fields
نویسندگان
چکیده
منابع مشابه
Packing Dimension Results for Anisotropic Gaussian Random Fields
Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = ( X1(t), . . . , Xd(t) ) , ∀ t ∈ R , where X1, . . . , Xd are independent copies of a centered real-valued Gaussian random field X0. We consider the case when X0 is anisotropic and study the packing dimension of the range X(E), where E ⊆ RN is a Borel set. For this purpose we extend the original notion of pack...
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ژورنال
عنوان ژورنال: Communications on Stochastic Analysis
سال: 2011
ISSN: 0973-9599
DOI: 10.31390/cosa.5.1.04