Zipf's law from a Fisher variational-principle

Details Zipf's law from a Fisher variational-principle Zipf's law from a Fisher variational-principle

2009-08-04

arxiv.org/abs/0908.0501v1

Physics

Physics and Society

Scientific paper

Zipf's law is shown to arise as the variational solution of a problem
formulated in Fisher's terms. An appropriate minimization process involving
Fisher information and scale-invariance yields this universal rank
distribution. As an example we show that the number of citations found in the
most referenced physics journals follows this law.

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