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. Ldvy'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

Rossi, Maurizia
2014

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. Ldvy's original idea for the spherical Brownian motion
Articolo in rivista - Articolo scientifico
Spin line bundles
English
2014
124
5
1910
1941
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/253313
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