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Statistically isotropic tensor random fields: correlation structures
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics/Applied Mathematics)ORCID iD: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign.
2014 (English)In: Mathematics and Mechanics of Complex Systems, ISSN 2325-3444, Vol. 2, no 2, 209-231 p.Article in journal (Refereed) Published
Abstract [en]

Let V be a real finite-dimensional vector space. We introduce some physical problems that may be described by V-valued homogeneous and isotropic random fields on R 3 . We propose a general method for calculation of expectations and two-point correlation functions of such fields. Our results are equivalent to classical results by Robertson, when V = R 3 , and those by Lomakin, when V is the space of symmetric second-rank tensors over R 3 . Our solution involves an analogue of the classical Clebsch–Gordan coefficients.

Place, publisher, year, edition, pages
2014. Vol. 2, no 2, 209-231 p.
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-23035OAI: oai:DiVA.org:mdh-23035DiVA: diva2:668108
Available from: 2013-11-28 Created: 2013-11-28 Last updated: 2016-12-20Bibliographically approved

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http://msp.org/memocs/2014/2-2/memocs-v2-n2-p05-s.pdf

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