Fractional Gaussian fields: A survey

We discuss a family of random fields indexed by a parameter s ∈ R which we call the fractional Gaussian fields, given by FGF[subscript s](R[superscript d]) = (-Δ)[superscript -s/2]W, where W is a white noise on R[superscript d] and (-Δ)[superscript -s/2] is the fractional Laplacian. These fields can...

Full description

Bibliographic Details
Main Authors: Lodhia, Asad Iqbal (Contributor), Sheffield, Scott Roger (Contributor), Sun, Xin (Contributor), Watson, Samuel Stewart (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematical Statistics, 2018-05-11T17:37:12Z.
Subjects:
Online Access:Get fulltext