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 22-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.

Baldi, P., Rossi, M. (2014). Representation of Gaussian isotropic spin random fields. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 124(5), 1910-1941 [10.1016/j.spa.2014.01.007].

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 22-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
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Gaussian random fields; Spherical harmonics; Line bundles; Induced representations
ERC PASCAL 277742
Baldi, P., Rossi, M. (2014). Representation of Gaussian isotropic spin random fields. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 124(5), 1910-1941 [10.1016/j.spa.2014.01.007].
Baldi, P; Rossi, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/89845
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