TY  - UNPB
TI  - A generalized preferential attachment model for complex systems
AV  - none
Y1  - 2005///
UR  - http://eprints.imtlucca.it/2245/
A1  - Yamasaki, Kazuko
A1  - Matia, Kaushik
A1  - Fu, Dongfeng
A1  - Buldyrev, Sergey V.
A1  - Pammolli, Fabio
A1  - Riccaboni, Massimo
A1  - Stanley, H. Eugene
PB  - ArXiv
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. We investigate how the distribution depends on the initial conditions and changes from a pure exponential form for zero influx of new classes to a power law with an exponential cutoff form when the influx of new classes is substantial. We apply the model to study the growth dynamics of pharmaceutical industry. 
M1  - working_paper
ID  - eprints2245
EP  - 11
ER  -