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 ca...

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Bibliographic Details
Main Authors: Lodhia, Asad Iqbal, Sheffield, Scott Roger, Sun, Xin, Watson, Samuel Stewart
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Institute of Mathematical Statistics 2018
Online Access:http://hdl.handle.net/1721.1/115331
https://orcid.org/0000-0002-6677-5349
https://orcid.org/0000-0002-5951-4933
https://orcid.org/0000-0002-8579-1686