Spectral test of the MIXMAX random number generators

DOI10.1016/j.chaos.2018.11.024zbMath1442.65003arXiv1806.05243OpenAlexW2808407288WikidataQ59447596 ScholiaQ59447596MaRDI QIDQ2201449

Narek Martirosyan, Konstantin G. Savvidy, George K. Savvidy

Publication date: 29 September 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05243

zbMATH Keywords

pseudorandom numbersspectral testMIXMAX number generator

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Uses Software

• TestU01
• MIXMAX

Cites Work

• Anosov C-systems and random number generators
• The MIXMAX random number generator
• The sub-lattice structure of linear congruential random number generators
• The lattice structure of pseudo-random vectors generated by matrix generators
• Factoring polynomials with rational coefficients
• On the Monte Carlo simulation of physical systems
• Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers
• Spectrum and entropy of C-systems MIXMAX random number generator
• Propagating modes of a non-Abelian tensor gauge field of second rank
• TestU01
• Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators
• Equidistribution of Matrix-Power Residues Modulo One
• Fourier Analysis of Uniform Random Number Generators
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors
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