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A Study On The Randomness Of The Digits Of Π

Author

Listed:
  • SHU-JU TU

    (Department of Physics, Purdue University, West Lafayette, Indiana 47907-2036, USA)

  • EPHRAIM FISCHBACH

    (Department of Physics, Purdue University, West Lafayette, Indiana 47907-2036, USA)

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.

Suggested Citation

  • Shu-Ju Tu & Ephraim Fischbach, 2005. "A Study On The Randomness Of The Digits Of Π," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 281-294.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:02:n:s0129183105007091
    DOI: 10.1142/S0129183105007091
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    Cited by:

    1. Xabier M. Aretxabaleta & Marina Gonchenko & Nathan L. Harshman & Steven Glenn Jackson & Maxim Olshanii & Grigory E. Astrakharchik, 2020. "The Dynamics of Digits: Calculating Pi with Galperin’s Billiards," Mathematics, MDPI, vol. 8(4), pages 1-31, April.
    2. Alexander Maye & Chih-hao Hsieh & George Sugihara & Björn Brembs, 2007. "Order in Spontaneous Behavior," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-14, May.

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