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The RANLUX generator: resonances in a random walk test

Authors
  • Shchur, Lev N.
  • Butera, Paolo
Type
Published Article
Publication Date
Aug 28, 1998
Submission Date
May 18, 1998
Identifiers
DOI: 10.1142/S0129183198000509
arXiv ID: hep-lat/9805017
Source
arXiv
License
Unknown
External links

Abstract

Using a recently proposed directed random walk test, we systematically investigate the popular random number generator RANLUX developed by Luescher and implemented by James. We confirm the good quality of this generator with the recommended luxury level. At a smaller luxury level (for instance equal to 1) resonances are observed in the random walk test. We also find that the lagged Fibonacci and Subtract-with-Carry recipes exhibit similar failures in the random walk test. A revised analysis of the corresponding dynamical systems leads to the observation of resonances in the eigenvalues of Jacobi matrix.

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