Models of space-time random fields on the sphere

TL;DR

This paper explores models of space-time random fields on the sphere, analyzing their properties and asymptotic behavior through angular power spectra and random time changes.

Contribution

It introduces general models of space-time random fields on the sphere with novel analysis of their spectral and asymptotic properties.

Findings

Characterized the angular power spectrum of the models

Derived asymptotic results using random time changes

Provided insights into non-local equations in space and time

Abstract

We study general models of random fields associated with non-local equations in time and space. We discuss the properties of the corresponding angular power spectrum and find asymptotic results in terms of random time changes.