relation: http://eprints.imtlucca.it/683/
title: Preferential attachment and growth dynamics in complex systems
creator: Pammolli, Fabio
creator: Yamasaki, Kazuko
creator: Matia, Kaushik
creator: Buldyrev, Sergey V.
creator: Fu, Dongfeng
creator: Riccaboni, Massimo
creator: Stanley, H. Eugene
subject: HB Economic Theory
subject: HD Industries. Land use. Labor
subject: QC Physics
subject: RM Therapeutics. Pharmacology
description: Complex systems can be characterized by classes of equivalency of their elements defined according to system specific rules. We propose a generalized preferential attachment model to describe the class size distribution. The model postulates preferential growth of the existing classes and the steady influx of new classes. According to the model, the distribution changes from a pure exponential form for zero influx of new classes to a power law with an exponential cut-off form when the influx of new classes is substantial. Predictions of the model are tested through the analysis of a unique industrial database, which covers both elementary units (products) and classes (markets, firms) in a given industry (pharmaceuticals), covering the entire size distribution. The model’s predictions are in good agreement with the data. The paper sheds light on the emergence of the exponent τ≈2 observed as a universal feature of many biological, social and economic problems.
publisher: American Physical Society
date: 2006
type: Article
type: PeerReviewed
identifier:   Pammolli, Fabio and Yamasaki, Kazuko and Matia, Kaushik and Buldyrev, Sergey V. and Fu, Dongfeng and Riccaboni, Massimo and Stanley, H. Eugene  Preferential attachment and growth dynamics in complex systems.  Physical Review E, 74 (3).  035103(R)8.  ISSN 1539-3755      (2006)  
relation: http://link.aps.org/doi/10.1103/PhysRevE.74.035103
relation: 10.1103/PhysRevE.74.035103