Invariant random fields in vector bundles and application to cosmology

Anatoliy Malyarenko

Annales de l'I.H.P. Probabilités et statistiques (2011)

  • Volume: 47, Issue: 4, page 1068-1095
  • ISSN: 0246-0203

Abstract

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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 obtained. 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.

How to cite

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Malyarenko, Anatoliy. "Invariant random fields in vector bundles and application to cosmology." Annales de l'I.H.P. Probabilités et statistiques 47.4 (2011): 1068-1095. <http://eudml.org/doc/241955>.

@article{Malyarenko2011,
abstract = {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 obtained. 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.},
author = {Malyarenko, Anatoliy},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {invariant random field; vector bundle; cosmic microwave background; cosmic microwave background radiation},
language = {eng},
number = {4},
pages = {1068-1095},
publisher = {Gauthier-Villars},
title = {Invariant random fields in vector bundles and application to cosmology},
url = {http://eudml.org/doc/241955},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Malyarenko, Anatoliy
TI - Invariant random fields in vector bundles and application to cosmology
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2011
PB - Gauthier-Villars
VL - 47
IS - 4
SP - 1068
EP - 1095
AB - 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 obtained. 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.
LA - eng
KW - invariant random field; vector bundle; cosmic microwave background; cosmic microwave background radiation
UR - http://eudml.org/doc/241955
ER -

References

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