Gaussian random fields on the sphere and sphere cross line
Probability
2019-08-21 v2
Abstract
We review the Dudley integral for the Belyaev dichotomy applied to Gaussian processes on spheres, and discuss the approximate (or restricted) continuity of paths in the discontinuous case. We discuss also the spatio-temporal case, of sphere cross line. In the continuous case, we investigate the link between the smoothness of paths and the decay rate of the angular power spectrum, following Tauberian work of the first author, Malyarenko, and Lang and Schwab.
Keywords
Cite
@article{arxiv.1812.02103,
title = {Gaussian random fields on the sphere and sphere cross line},
author = {N. H. Bingham and Tasmin L. Symons},
journal= {arXiv preprint arXiv:1812.02103},
year = {2019}
}
Comments
21 pages; revised version of arXiv:1812.02103, submitted to SPA