The RANLUX generator: resonances in a random walk test

Preprint

18 May 1998

preprint
Published by arXiv in arXiv

Abstract

Using a recently proposed in cond-mat/9612227 directed random walk test, we systematically investigate the popular random number generator RANLUX developed by Luescher and implemented by James. 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.

Keywords

DYNAMICAL SYSTEMS
RANDOM WALK TEST
GENERATOR RANLUX
RANLUX DEVELOPED
JACOBI MATRIX
EIGENVALUES
WALK TEST

All Related Versions

Version 1, 1998-05-18, ArXiv
Version 2, 1998-05-22, ArXiv
Version 3, 1998-08-28, ArXiv
Published version: International Journal of Modern Physics C, 09 (04), 607.

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