The Distributions in Nature and Entropy Principle

@article{Kafri2009TheDI,
  title={The Distributions in Nature and Entropy Principle},
  author={O. Kafri},
  journal={ArXiv},
  year={2009},
  volume={abs/0907.4852}
}
  • O. Kafri
  • Published 2009
  • Mathematics, Computer Science, Physics
  • ArXiv
The derivation of the maximum entropy distribution of particles in boxes yields two kinds of distributions: a "bell-like" distribution and a long-tail distribution. The first one is obtained when the ratio between particles and boxes is low, and the second one - when the ratio is high. The obtained long tail distribution yields correctly the empirical Zipf law, Pareto's 20:80 rule and Benford's law. Therefore, it is concluded that the long tail and the "bell-like" distributions are outcomes of… Expand
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