Packing dimensions of the images of Gaussian random fields

Yali Du, Junjie Miao, Dongsheng Wu and Yimin Xiao

Statistics & Probability Letters, 2015, vol. 106, issue C, 209-217

Abstract: Let X={X(t):t∈RN} be a Gaussian random field with values in Rd and let E⊆RN be a Borel set. We determine the packing dimension of the image set X(E) in terms of the packing dimension profiles in the canonical metric ρ of X, which are extensions of the packing dimension profiles of Falconer and Howroyd (1997) and the box-counting dimension profiles of Howroyd (2001).

Keywords: Gaussian random fields; Packing dimension; Packing dimension profiles; Image sets (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.07.020

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