ON THE PERIODS OF THE${\tt ranshi}$RANDOM NUMBER GENERATOR

F. Gutbrod ()
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F. Gutbrod: Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, D-22603 Hamburg, Germany

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 06, 909-922

Abstract: The stochastic properties of the pseudo-random number generator${\tt ranshi}$are discussed, with emphasis on the average period. Within a factor 2 this turns out to be the root of the maximally possible period. The actual set of periods depends on minor details of the algorithm, and the system settles down in one of only a few different cycles. These features are in perfect agreement with absolute random motion in phase space, to the extent allowed by deterministic dynamics.

Keywords: Random Number Generators; Statistical Tests; Statistical System; Random Motion; Phase Space (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S0129183196000764

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