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Invariant random fields in vector bundles and application to cosmology
Mälardalen University, School of Education, Culture and Communication. (Matematik/Tillämpad matematik, MERO)ORCID iD: 0000-0002-0139-0747
2011 (English)In: Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, ISSN 0246-0203, Vol. 47, no 4, 1068-1095 p.Article in journal (Refereed) Published
Abstract [en]

We develop the theory of invariant random fields in vector bundles. The spectral decomposition of an invariant random field in a homogeneous vector bundle generated by an induced representation of a compact connected Lie group G is btained. We discuss an application to the theory of relic radiation, where G = SO(3). A theorem about equivalence of two different groups of assumptions in cosmological theories is proved.

Place, publisher, year, edition, pages
2011. Vol. 47, no 4, 1068-1095 p.
Keyword [en]
Invariant random field; Vector bundle; Cosmic microwave background
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-13365DOI: 10.1214/10-AIHP409ISI: 000296290700007Scopus ID: 2-s2.0-80054106442OAI: oai:DiVA.org:mdh-13365DiVA: diva2:460087
Available from: 2011-11-29 Created: 2011-11-29 Last updated: 2014-01-10Bibliographically approved

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