Work

The RANLUX Generator: Resonances in a Random Walk Test

Year: 1998

Type: article

Abstract: Using a recently proposed directed random walk test, we systematically investigate the popular random number generator RANLUX developed by Lüscher 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.

Source: International Journal of Modern Physics C

DOI: 10.1142/s0129183198000509

Authors: Lev N. Shchur, Paolo Butera

Institutions: Landau Institute for Theoretical Physics, Istituto Nazionale di Fisica Nucleare, University of Milan, Istituto Nazionale di Fisica Nucleare, Sezione di Milano

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Russian Foundation for Basic Research, Nederlandse Organisatie voor Wetenschappelijk Onderzoek

OpenAlex ID: W1973637186

FWCI: 2.155

Cites: 7

Cited by: 28

Related to: 10