Fluctuation scaling in complex systems: Taylor's law and beyond

@article{Eisler2008FluctuationSI,
  title={Fluctuation scaling in complex systems: Taylor's law and beyond},
  author={Zolt{\'a}n Eisler and Imre Bartos and J{\'a}nos Kert{\'e}sz},
  journal={Advances in Physics},
  year={2008},
  volume={57},
  pages={142 - 89}
}
Complex systems consist of many interacting elements which participate in some dynamical process. The activity of various elements is often different and the fluctuation in the activity of an element grows monotonically with the average activity. This relationship is often of the form ‘fluctuations ≈ constant × averageα’, where the exponent α is predominantly in the range [1/2, 1]. This power law has been observed in a very wide range of disciplines, ranging from population dynamics through the… Expand
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