Commun. Comput. Phys., 12 (2012), pp. 721-731.


Power Laws and Skew Distributions

Reinhard Mahnke 1*, Jevgenijs Kaupuzs 2, Martins Brics 1

1 Institute of Physics, Rostock University, D-18051 Rostock, Germany.
2 Institute of Mathematics and Computer Science, University of Latvia, LV-1459 Riga, Latvia.

Received 1 April 2011; Accepted (in revised version) 5 August 2011
Available online 1 March 2012
doi:10.4208/cicp.010411.050811a

Abstract

Power-law distributions and other skew distributions, observed in various models and real systems, are considered. A model, describing evolving systems with increasing number of elements, is considered to study the distribution over element sizes. Stationary power-law distributions are found. Certain non-stationary skew distributions are obtained and analyzed, based on exact solutions and numerical simulations.


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PACS: 05.40.-a, 64.60.F-
Key words: Power law, critical exponent, evolving system, skew distribution.

*Corresponding author.
Email: reinhard.mahnke@uni-rostock.de (R. Mahnke), kaupuzs@latnet.lv (J. Kaupuzs), martins.brics2@uni-rostock.de (M. Brics)
 

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