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2010
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 Benoit Mandelbrot The definition of econophysics The universal behavior of rank as a ...
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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 Benoit Mandelbrot The definition of econophysics The universal behavior of rank as a ...
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Power-Law Distribution of the World Wide Web
Science, 2000Barabasi and Albert ([1][1]) propose an improved version of the Erdos-Renyi (ER) theory of random networks to account for the scaling properties of a number of systems, including the link structure of the World Wide Web (WWW).
Adamic, LA +5 more
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Evolution of power law distributions in science and society
Physical Review E, 2005Power law distributions have been observed in numerous physical and social systems; for example, the size distributions of particles, aerosols, corporations, and cities are often power laws. Each system is an ensemble of clusters, comprising units that combine with or dissociate from the cluster.
Young-Pyo, Jeon, Benjamin J, McCoy
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Power-law distributions of attributes in community detection
Social Network Analysis and Mining, 2015Community detection has drawn significant attention as new media generates big data every day. To provide statistical testing procedures for community detection in social networks, a scanning method has been developed based on the likelihood of Poisson random graph.
Wang, Tai-Chi +2 more
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Power Law Distributions and the Size Distribution of Strikes
Sociological Methods & Research, 2017Using Canadian data from 1976 to 2014, I study the size distribution of strikes with three alternative measures of strike size: the number of workers on strike, strike duration in calendar days, and the number of person calendar days lost to a strike. I use a maximum likelihood framework that provides a way to estimate distributions, evaluate model fit,
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Energy distribution, power laws, and economic growth [PDF]
, 2008 The natural sciences have established a general scaling law that relates metabolism and body size of animals. Recently this association - known as Kleiber's law - has received deep theoretical foundation by network theory and has been fruitfully applied to explain various biological phenomena, in particular ontogenetic growth.
Dalgaard, Carl-Johan, Strulik, Holger
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Recognizing Power-Law Distributions
2002Power-law distributions or, for being more general, heavy-tailed distributions (Sect. 1.3) become more and more important for assessing natural and manmade hazards. In principle, we already know how to analyze an observed distribution of object sizes with respect to scale-invariant properties.
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The collision theory reaction rate coefficient for power-law distributions
Physica A: Statistical Mechanics and Its Applications, 2014Cangtao Yin, Jiulin Du
exaly
On the emergence of a power law in the distribution of COVID-19 cases
Physica D: Nonlinear Phenomena, 2020Alexis Akira Toda, Brendan K Beare
exaly