Gaussian random fields on the sphere and sphere cross line

Nicholas H. Bingham and Tasmin L. Symons

Stochastic Processes and their Applications, 2022, vol. 150, issue C, 788-801

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: Gaussian processes; Belyaev’s dichotomy; Tauberian theorems (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spa.2019.08.007

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