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Power-Law Distributions

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Modeling Complex Systems

Part of the book series: Graduate Texts in Physics ((GTP))

Abstract

The essential points of this chapter are The Pareto law The log-normal distribution The two regimes of income distribution and how it is explained The Zipf’s law of word frequency The behavior of stock prices as a function of time according to Louis Bachelier and Benoît Mandelbrot The definition of econophysics The universal behavior of rank as a function size for cities The distribution of family names (in Japan) The distribution of votes (in São Paulo) The explanation of the power-law behavior The log-normal behavior The definition of self-organized criticality The sandpile model and the avalanches

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Correspondence to Nino Boccara .

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Boccara, N. (2010). Power-Law Distributions. In: Modeling Complex Systems. Graduate Texts in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6562-2_8

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