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Matérn Class Tensor-Valued Random Fields and Beyond
Cardiff University, UK.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
2017 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 168, 1276-1301 p.Article in journal (Refereed) Published
Abstract [en]

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 belongs to either the Matérn or the dual Matérn class if all of the above densities are Matérn or dual Matérn. Several examples are considered.

Place, publisher, year, edition, pages
2017. Vol. 168, 1276-1301 p.
Keyword [en]
Homogeneity; Isotropy; Group representation; Spectral density
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-36222DOI: 10.1007/s10955-017-1847-2ISI: 000408691600007OAI: oai:DiVA.org:mdh-36222DiVA: diva2:1131245
Available from: 2017-08-14 Created: 2017-08-14 Last updated: 2017-09-14Bibliographically approved

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