Complexity measures, emergence, and multiparticle correlations
Adaptation and Self-Organizing Systems
2012-04-20 v2 Statistical Mechanics
Quantum Physics
Abstract
We study correlation measures for complex systems. First, we investigate some recently proposed measures based on information geometry. We show that these measures can increase under local transformations as well as under discarding particles, thereby questioning their interpretation as a quantifier for complexity or correlations. We then propose a refined definition of these measures, investigate its properties and discuss its numerical evaluation. As an example, we study coupled logistic maps and study the behavior of the different measures for that case. Finally, we investigate other local effects during the coarse graining of the complex system.
Cite
@article{arxiv.1107.1180,
title = {Complexity measures, emergence, and multiparticle correlations},
author = {Tobias Galla and Otfried Gühne},
journal= {arXiv preprint arXiv:1107.1180},
year = {2012}
}
Comments
13 pages, 5 figures, accepted by Phys. Rev. E