Graduate studies at Western
Kazuko Yamasaki, Kaushik Matia, Fabio Pammolli, Sergey Buldyrev, Massimo Riccaboni, H. Eugene Stanley & Dongfeng Fu
|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 tau approximately 2 observed as a universal feature of many biological, social and economic problems.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Stanley Burris (1984). Model Companions for Finitely Generated Universal Horn Classes. Journal of Symbolic Logic 49 (1):68-74.
Zhaohui Zhu, Zhenghua Pan, Shifu Chen & Wujia Zhu (2002). Valuation Structure. Journal of Symbolic Logic 67 (1):1-23.
John L. Bell (2000). Sets and Classes as Many. Journal of Philosophical Logic 29 (6):585-601.
Michael H. Albert (1987). A Preservation Theorem for EC-Structures with Applications. Journal of Symbolic Logic 52 (3):779-785.
Victor M. Yakovenko & J. Barkley Rosser, Colloquium: Statistical Mechanics of Money, Wealth, and Income.
Richard Laing (1974). Maxwell's Demon and Computation. Philosophy of Science 41 (2):171-178.
Maqbool Ahmed, Indications of de Sitter Spacetime From Classical Sequential Growth Dynamics of Causal Sets.
Added to index2009-01-28
Total downloads2 ( #246,545 of 739,328 )
Recent downloads (6 months)0
How can I increase my downloads?