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Power Laws and Skew Distributions

Published online by Cambridge University Press:  20 August 2015

Reinhard Mahnke ,
Jevgenijs Kaupužs  and
Mārtiņš Brics
Reinhard Mahnke*
Affiliation:
Institute of Physics, Rostock University, D-18051 Rostock, Germany
Jevgenijs Kaupužs*
Affiliation:
Institute of Mathematics and Computer Science, University of Latvia, LV-1459 Riga, Latvia
Mārtiņš Brics*
Affiliation:
Institute of Physics, Rostock University, D-18051 Rostock, Germany
*
Corresponding author.Email:reinhard.mahnke@uni-rostock.de
Email:kaupuzs@latnet.lv
Email:martins.brics2@uni-rostock.de
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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.

Keywords

05.40.-a64.60.F-Power lawcritical exponentevolving systemskew distribution
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 3 , September 2012 , pp. 721 - 731
Copyright
Copyright © Global Science Press Limited 2012

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