Representation of Gaussian isotropic spin random fields |
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Authors: | Paolo Baldi Maurizia Rossi |
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Affiliation: | Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Roma, Italy |
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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. |
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Keywords: | 60G60 33C55 57T30 |
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