The RANLUX generator: resonances in a random walk test

Details The RANLUX generator: resonances in a random walk test The RANLUX generator: resonances in a random walk test

1998-05-18

arxiv.org/abs/hep-lat/9805017v3

Int.J.Mod.Phys. C9 (1998) 607-624

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages with 14 figures, Essential addings in the Abstract only

Scientific paper

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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