eprintid: 683
rev_number: 14
eprint_status: archive
userid: 2
dir: disk0/00/00/06/83
datestamp: 2011-07-01 08:58:09
lastmod: 2011-08-31 14:40:39
status_changed: 2011-07-01 08:58:09
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Pammolli, Fabio
creators_name: Yamasaki, Kazuko
creators_name: Matia, Kaushik
creators_name: Buldyrev, Sergey V.
creators_name: Fu, Dongfeng
creators_name: Riccaboni, Massimo
creators_name: Stanley, H. Eugene
creators_id: f.pammolli@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
creators_id: 
creators_id: massimo.riccaboni@imtlucca.it
creators_id: 
title: Preferential attachment and growth dynamics in complex systems
ispublished: pub
subjects: HB
subjects: HD
subjects: QC
subjects: RM
divisions: EIC
full_text_status: none
note: PACS:
89.75.Fb, 05.70.Ln, 89.75.Da, 89.65.Gh

abstract: 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.
date: 2006
date_type: published
publication: Physical Review E
volume: 74
number: 3
publisher: American Physical Society
pagerange: 035103(R)8
id_number: 10.1103/PhysRevE.74.035103
refereed: TRUE
issn: 1539-3755
official_url: http://link.aps.org/doi/10.1103/PhysRevE.74.035103
citation:   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)