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. © 2014 Elsevier B.V. All rights reserved.
Representation of Gaussian isotropic spin random fields
Baldi, Paolo;Rossi, Maurizia
2014-01-01
Abstract
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. © 2014 Elsevier B.V. All rights reserved.File in questo prodotto:
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