Predicted and verified deviations from Zipf's law in ecology of competing products.

  title={Predicted and verified deviations from Zipf's law in ecology of competing products.},
  author={Ryohei Hisano and Didier Sornette and Takayuki Mizuno},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={84 2 Pt 2},
Zipf's power-law distribution is a generic empirical statistical regularity found in many complex systems. However, rather than universality with a single power-law exponent (equal to 1 for Zipf's law), there are many reported deviations that remain unexplained. A recently developed theory finds that the interplay between (i) one of the most universal ingredients, namely stochastic proportional growth, and (ii) birth and death processes, leads to a generic power-law distribution with an… CONTINUE READING
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