Models of space-time random fields on the sphere

Abstract

General models of random fields on the sphere associated with nonlocal equations in time and space are studied. The properties of the corresponding angular power spectrum are discussed and asymptotic results in terms of random time changes are found.

Keywords

• Fractional equations
• spherical Brownian motion
• subordinators
• Random fields
• Laplace–Beltrami operators
• spherical harmonics