TY  - JOUR
UR  - http://link.aps.org/doi/10.1103/PhysRevE.74.035103
N1  - PACS:
89.75.Fb, 05.70.Ln, 89.75.Da, 89.65.Gh

IS  - 3
JF  - Physical Review E
N2  - 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 ??2 observed as a universal feature of many biological, social and economic problems.
AV  - none
ID  - eprints683
TI  - Preferential attachment and growth dynamics in complex systems
Y1  - 2006///
A1  - Pammolli, Fabio
A1  - Yamasaki, Kazuko
A1  - Matia, Kaushik
A1  - Buldyrev, Sergey V.
A1  - Fu, Dongfeng
A1  - Riccaboni, Massimo
A1  - Stanley, H. Eugene
SN  - 1539-3755
VL  - 74
PB  - American Physical Society
ER  -