Volume 83, Number 4, August 2008
|Number of page(s)||4|
|Published online||06 August 2008|
The oligarchic structure of Paretian Poisson processes
Department of Technology Management, Holon Institute of Technology - P.O. Box 305, Holon 58102, Israel
2 School of Chemistry, Sackler Faculty of Exact Sciences, Tel Aviv University - Tel Aviv 69978, Israel
Accepted: 27 June 2008
Paretian Poisson processes are a mathematical model of random fractal populations governed by Paretian power law tail statistics, and connect together and underlie elemental issues in statistical physics. Considering Paretian Poisson processes to represent the wealth of individuals in human populations, we explore their oligarchic structure via the analysis of the following random ratios: the aggregate wealth of the oligarchs ranked from to n, measured relative to the wealth of the m-th oligarch (). A mean analysis and a stochastic-limit analysis (as ) of these ratios are conducted. We obtain closed-form results which turn out to be highly contingent on the fractal exponent of the Paretian Poisson process considered.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.45.Df – Fractals / 05.65.+b – Self-organized systems
© EPLA, 2008
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