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

@article{Hisano2011PredictedAV,
  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},
  year={2011},
  volume={84 2 Pt 2},
  pages={026117}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 32 references

Sales distribution of consumer electronics

  • R Hisano, T Mizuno
  • Physica A
  • 2011
Highly Influential
8 Excerpts

Zipf ’s law and maximum sustainable growth, preprint, http://ssrn.com/abstract=1083962

  • Y Malevergne, A Saichev, D Sornette
  • 2010
Highly Influential
10 Excerpts

Stable infinite variance fluctuations in randomly amplified

  • H Takayasu, AH Sato, M Takayasu
  • Langevin systems, Phys. Rev. Lett
  • 1997
Highly Influential
4 Excerpts

Random difference equations and renewal theory for products of random matrices

  • H Kesten
  • Acta Mathematica,
  • 1973
Highly Influential
6 Excerpts

Critical phenomena in natural sciences, Springer, Heidelberg, 2nd edition

  • D Sornette
  • 2004
2 Excerpts

Zipf ’ s law in gene explanation

  • C Furusawa, K Kaneko
  • Phys . Rev . Lett .
  • 2003

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