A study on the randomness of the digits of π

Shu Ju Tu*, Ephraim Fischbach

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

12 Scopus citations

Abstract

We apply a newly-developed computational method, Geometric Random Inner Products (GRIP), to quantify the randomness of number sequences obtained from the decimal digits of π. Several members from the GRIP family of tests are used, and the results from π are compared to those calculated from other random number generators. These include a recent hardware generator based on an actual physical process, turbulent electroconvection. We find that the decimal digits of π are in fact good candidates for random number generators and can be used for practical scientific and engineering computations.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalInternational Journal of Modern Physics C
Volume16
Issue number2
DOIs
StatePublished - 02 2005
Externally publishedYes

Keywords

  • Geometric probability
  • Geometric random inner products
  • Monte Carlo methods
  • Random distance distribution
  • Random number generator
  • Randomness and π

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