Brownian Manifolds, Negative Type and Geo-temporal Covariances (1612.06431v2)

Published 19 Dec 2016 in math.PR

Abstract: We survey Brownian manifolds -- manifolds that can parametrise Brownian motion -- and those that cannot. We consider covariances of space-time processes, particularly those when space is the sphere -- geo-temporal processes. There are connections with functions of negative type.

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