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Universality of Zipf's Law

Kenji Kawamura, Naomichi Hatano

Published 2002-03-22, updated 2002-03-29Version 2

We introduce a simple and generic model that reproduces Zipf's law. By regarding the time evolution of the model as a random walk in the logarithmic scale, we explain theoretically why this model reproduces Zipf's law. The explanation shows that the behavior of the model is very robust and universal.

Comments: 5 eps files included. To be published in J. Phys. Soc. Jpn
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