An approach to the physics of complexity
type: Item
instance of: scholarly article
title: An approach to the physics of complexity
zbMATH Open document ID: 0809.92028
DOI: 10.1016/0960-0779(94)90021-3
author: B. Schapiro
published in: Chaos, Solitons and Fractals
publication date: 1995-03-29T00:00:00Z
review text: On the basic representation of complex systems by probabilistic weighted, connected directed acyclic graphs the author discusses Zipf's law and the possibility of obtaining the critical complexities for the evolution of complex systems. The speculation for the critical complexity per feature in respect to the chance to preserve the minimal hierarchical structure of the complex system gives \(C_ 0 = 2^{-1} \ln 2 \pi e^ 2 \sim 2,77\) bit per feature. An exact analytic treatment later gives the value \(C_ 0 = \pi^ 2/(6 \ln 2) \sim 2,37\) bit per feature.
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 92B99
zbMATH DE Number: 558834
zbMATH Keywords: probabilistic weighted, connected directed acyclic graphs
zbMATH Keywords: Zipf's law
zbMATH Keywords: critical complexities
zbMATH Keywords: evolution of complex systems
zbMATH Keywords: minimal hierarchical structure
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: 0960-0779(94)90021-3
OpenAlex ID: W1986113702
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description: scientific article; zbMATH DE number 558834