Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law. Journal Article uri icon

Overview

abstract

  • Benford's law owes its discovery to the "Grubby Pages Hypothesis," 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 Benford's law, then it's 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 Benford's law. We also develop a numerical simulation methodology that we use to study dynamical systems when analytical results are not readily available.

publication date

  • August 1, 2001

Date in CU Experts

  • September 17, 2013 3:52 AM

Full Author List

  • Snyder MA; Curry JH; Dougherty AM

author count

  • 3

citation count

  • 0

Other Profiles

International Standard Serial Number (ISSN)

  • 1539-3755

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

Additional Document Info

start page

  • 026222

volume

  • 64

issue

  • 2 Pt 2