Complexity measures, emergence, and multiparticle correlations

Details Complexity measures, emergence, and multiparticle correlations Complexity measures, emergence, and multiparticle correlations

2011-07-06

arxiv.org/abs/1107.1180v2

Phys. Rev. E 85, 046209 (2012)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

13 pages, 5 figures, accepted by Phys. Rev. E

Scientific paper

10.1103/PhysRevE.85.046209

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.

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