Universality of Zipf's Law
Statistical Mechanics
2009-11-07 v2 Disordered Systems and Neural Networks
Abstract
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.
Cite
@article{arxiv.cond-mat/0203455,
title = {Universality of Zipf's Law},
author = {Kenji Kawamura and Naomichi Hatano},
journal= {arXiv preprint arXiv:cond-mat/0203455},
year = {2009}
}
Comments
5 eps files included. To be published in J. Phys. Soc. Jpn