Holtsmark Fluctuations of Nonstationary Gravitational Fields

Abstract

We construct Holtsmark distributions of nonstationary fluctuations of the local interactions of moving objects for a system in which the action of gravitation influence is governed by a power law. We deduce a pseudodifferential equation with Riesz operator of fractional differentiation corresponding to this process. We also clarify the general nature of stable symmetric Lévy random processes.