Some results on random fields admitting a spectral representation with infinitely divisible integrator

TL;DR

This paper investigates the properties of random fields that can be represented spectrally using an infinitely divisible integrator, expanding understanding of their mathematical structure.

Contribution

It introduces new theoretical results on the properties of such random fields with spectral representations involving infinitely divisible integrators.

Findings

Characterization of spectral representation properties

Proofs of specific mathematical properties of these fields

Insights into the structure of infinitely divisible integrators

Abstract

We consider random fields admitting a spectral representation with infinitely divisible integrator and prove some of their properties.