Multifractality and multiscaling in two dimensional fragmentation

TL;DR

This paper explores the multifractal and multiscaling properties of two models that describe two-dimensional fragmentation and stochastic fractals, revealing different scaling behaviors.

Contribution

It introduces two models that demonstrate distinct multifractal and simple scaling behaviors in two-dimensional fragmentation and fractal processes.

Findings

Model A shows multifractality on a unique support for fragmentation.

Model A exhibits multifractality on multiple supports for stochastic fractals.

Model B obeys simple scaling in both contexts.

Abstract

We consider two models (A and B) which can describe both two dimensional fragmentation and stochastic fractals. Model A exhibits multifractality on a unique support when describing a fragmentation process and on one of infinitely many possible supports when describing stochastic fractals. Model B obeys simple scaling.