Generalized operator-scaling random ball model

TL;DR

This paper introduces a generalized operator-scaling random ball model that extends isotropic models to anisotropic cases, providing a framework for analyzing anisotropic random fields with established weak convergence results.

Contribution

It presents a novel operator-scaling random ball model that generalizes previous isotropic models to anisotropic settings, with rigorous weak convergence analysis.

Findings

Model extends isotropic to anisotropic cases

Weak convergence established in tempered distributions

Provides a framework for anisotropic random fields

Abstract

This article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The model is introduced as a generalized random field and results on weak convergence are established in the space of tempered distributions.