Representation of Gaussian isotropic spin random fields

We develop a technique for the construction of random fields on algebraic structures. We deal with two general situations: random fields on homogeneous spaces of a compact group and in the spin line bundles of the 2-sphere. In particular, every complex Gaussian isotropic spin random field can be represented in this way. Our construction extends P. Lévy’s original idea for the spherical Brownian motion.

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Year of publication:	2014
Authors:	Baldi, Paolo ; Rossi, Maurizia
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 124.2014, 5, p. 1910-1941
Publisher:	Elsevier
Subject:	Gaussian random fields \| Spherical harmonics \| Line bundles \| Induced representations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010753658