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Snyder, MA, Curry, JH and Dougherty, AM (2001)

Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law

Physical Review E 64(2), Art. No. 026222.

ISSN/ISBN: 1063-651X DOI: 10.1103/PhysRevE.64.026222

Abstract: Benfordís law owes its discovery to the ďGrubby Pages Hypothesis,Ē a 19th century observation made by Simon Newcomb that the beginning pages of logarithm books were grubbier than the last few pages, implying that scientists referenced the values toward the front of the books more frequently. If a data set satisfies Benfordís law, then itís significant digits will have a logarithmic distribution, which favors smaller significant digits. In this article we demonstrate two ways of creating discrete one-dimensional dynamical systems that satisfy Benfordís law. We also develop a numerical simulation methodology that we use to study dynamical systems when analytical results are not readily available.

@article{, title={Stochastic aspects of one-dimensional discrete dynamical systems: Benfordís law}, author={Snyder, Mark A and Curry, James H and Dougherty, Anne M}, journal={Physical Review E}, volume={64}, number={2}, pages={026222}, year={2001}, publisher={APS}, ISSN={1063-651X}, DOI={10.1103/PhysRevE.64.026222}, }

Reference Type: Journal Article

Subject Area(s): Dynamical Systems