Matérn class tesor-valued random fields and beyond

Leonenko, Nikolai ORCID: https://orcid.org/0000-0003-1932-4091 and Malyarenko, Anatoliy 2017. Matérn class tesor-valued random fields and beyond. Journal of Statistical Physics 168 (6) , pp. 1276-1301. 10.1007/s10955-017-1847-2

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Abstract

We construct classes of homogeneous random fields on a three-dimensional Euclidean space that take values in linear spaces of tensors of a fixed rank and are isotropic with respect to a fixed orthogonal representation of the group of 3 × 3 orthogonal matrices. The constructed classes depend on finitely many isotropic spectral densities. We say that such a field belong to either the Matérn or the dual Matérn class if all of the above densities are Matérn or dual Matérn. Several examples are considered.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Data Innovation Research Institute (DIURI) Mathematics
Uncontrolled Keywords:	homogeneity, isotropy, group representation, spectral density.
Publisher:	Springer Verlag
ISSN:	0022-4715
Date of First Compliant Deposit:	18 July 2017
Date of Acceptance:	17 July 2017
Last Modified:	05 May 2023 03:19
URI:	https://orca.cardiff.ac.uk/id/eprint/102543

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