Invariant random fields in vector bundles and application to cosmology
Malyarenko, Anatoliy
Original · 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 obtained. We discuss an application to the theory of cosmic microwave background, where G=SO(3). A theorem about equivalence of two different groups of assumptions in cosmological theories is proved.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.