3 citations · 7 across the 8 of their papers we have counts for
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math.PR2021
Gaussian random fields: with and without covariances
N. H. Bingham, Tasmin L. Symons
We begin with isotropic Gaussian random fields, and show how the Bochner-Godement theorem gives a natural way to describe their covariance structure. We continue with a study of Ma…
math.PR2018★ 1 cited
Gaussian random fields on the sphere and sphere cross line
N. H. Bingham, Tasmin L. Symons
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 discontinuo…
math.PR2016★ 2 cited
Brownian Manifolds, Negative Type and Geo-temporal Covariances
N. H. Bingham, Aleksander Mijatović, Tasmin L. Symons
We survey Brownian manifolds -- manifolds that can parametrise Brownian motion -- and those that cannot. We consider covariances of space-time processes, particularly those when sp…