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Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign, Champaign, United States .
2016 (English)In: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering / [ed] Sergei Silvestrov; Milica Rancic, Springer, 2016, 281-300 p.Chapter in book (Refereed)
Abstract [en]

We consider a random field model of the 21-dimensional elasticity tensor. Representation theory is used to obtain the spectral expansion of the model in terms of stochastic integrals with respect to random measures.

Place, publisher, year, edition, pages
Springer, 2016. 281-300 p.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 178
Keyword [en]
random field, spectral expansion, stochastic integral
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33386DOI: 10.1007/978-3-319-42082-0_16Scopus ID: 2-s2.0-85015327295ISBN: 978-3-319-42081-3 (print)ISBN: 978-3-319-42082-0 (print)OAI: oai:DiVA.org:mdh-33386DiVA: diva2:1034030
Available from: 2016-10-11 Created: 2016-10-11 Last updated: 2017-03-30Bibliographically approved

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Publisher's full textScopushttp://www.springer.com/gp/book/9783319420813

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Malyarenko, Anatoliy

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