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arxiv: 1612.06431 · v2 · pith:7TCF67AEnew · submitted 2016-12-19 · 🧮 math.PR

Brownian Manifolds, Negative Type and Geo-temporal Covariances

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keywords brownianmanifoldscovariancesgeo-temporalnegativeprocessesthosetype
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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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