Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

[thumbnail of Leonenko-Malyarenko2017_Article_MatérnClassTensor-ValuedRandom.pdf]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (657kB) | Preview

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

Citation Data

Cited 5 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics