# Zipf’s law for atlas models

@article{Fernholz2020ZipfsLF, title={Zipf’s law for atlas models}, author={Ricardo T. Fernholz and Robert Fernholz}, journal={Journal of Applied Probability}, year={2020}, volume={57}, pages={1276 - 1297} }

Abstract A set of data with positive values follows a Pareto distribution if the log–log plot of value versus rank is approximately a straight line. A Pareto distribution satisfies Zipf’s law if the log–log plot has a slope of $-1$. Since many types of ranked data follow Zipf’s law, it is considered a form of universality. We propose a mathematical explanation for this phenomenon based on Atlas models and first-order models, systems of strictly positive continuous semimartingales with…

## One Citation

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