Complexity perspectives: an anomalous diffusion approach

TL;DR

This paper explores how concepts from diffusion processes can provide new insights into understanding complex structures, aiming to bridge gaps in the foundational understanding of complexity science.

Contribution

It introduces a novel perspective by applying anomalous diffusion ideas to analyze complex systems, offering a potential new framework for complexity research.

Findings

Diffusion concepts can model complex structures effectively.

Anomalous diffusion provides insights into complexity.

Potential for new complexity analysis methods.

Abstract

The science of complexity is far from being fully understood and even its foundations are not well established. On the other hand, during the last decade, the random motion of particles or waves - the so-called diffusion - has been known better. In this paper, we discuss how simple ideas of diffusion can be used to deal with the description of most complex structure.