Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Review of High-Quality Random Number Generators   This is a review of pseudorandom number generators (RNG's) of the highest
quality, suitable for use in the most demanding Monte Carlo calculations. All
the RNG's we recommend here are based on the Kolmogorov-Anosov theory of mixing
in classical mechanical systems, which guarantees under certain conditions and
in certain asymptotic limits, that points on the trajectories of these systems
can be used to produce random number sequences of exceptional quality. We
outline this theory of mixing and establish criteria for deciding which RNG's
are sufficiently good approximations to the ideal mathematical systems that
guarantee highest quality. The well-known RANLUX (at highest luxury level) and
its recent variant RANLUX++ are seen to meet our criteria, and some of the
proposed versions of MIXMAX can be modified easily to meet the same criteria.

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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci