Coordinates changed random fields on the sphere

2012/12/11 by Mirko D'Ovidio, D'Ovidio, Mirko
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1212.2420

22 pages, no figures

arxiv created 2012/12/11 · arxiv updated 2012/12/12

Abstract

We construct time dependent random fields on the sphere through coordinates change and subordination and we study the associated angular power spectrum. Some of this random fields arise naturally as solutions of partial differential equations with random initial condition represented by a Gaussian random field.

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