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Matérn class tesor-valued random fields and beyond

Leonenko, Nikolai and Malyarenko, Anatoliy 2017. Matérn class tesor-valued random fields and beyond. Journal of Statistical Physics

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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
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: 19 Jul 2018 05:49
URI: http://orca.cf.ac.uk/id/eprint/102543

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