Representation of Gaussian Isotropic Spin Random Fields
Probability
2015-01-29 v2
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 spin Gaussian isotropic field can be obtained with this construction. Our construction extends P. L\'evy's original idea for the spherical Brownian Motion.
Cite
@article{arxiv.1310.0321,
title = {Representation of Gaussian Isotropic Spin Random Fields},
author = {Paolo Baldi and Maurizia Rossi},
journal= {arXiv preprint arXiv:1310.0321},
year = {2015}
}
Comments
27 pages. Accepted for publication on Stoch. Processes Appl