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Mathematics > Probability

arXiv:1812.02103 (math)
[Submitted on 5 Dec 2018 (v1), last revised 20 Aug 2019 (this version, v2)]

Title:Gaussian random fields on the sphere and sphere cross line

Authors:N. H. Bingham, Tasmin L. Symons
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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.
Comments: 21 pages; revised version of arXiv:1812.02103, submitted to SPA
Subjects: Probability (math.PR)
MSC classes: 60B15, 60B99, 60G15, 60G60
Cite as: arXiv:1812.02103 [math.PR]
  (or arXiv:1812.02103v2 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1812.02103

Submission history

From: Tasmin Symons [view email]
[v1] Wed, 5 Dec 2018 16:46:26 UTC (18 KB)
[v2] Tue, 20 Aug 2019 12:45:49 UTC (24 KB)
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