Pseudo Random Coins Show More Heads Than Tails

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dc.creatorBauke, Heiko
dc.creatorMertens, Stephan
dc.date2003-07-07
dc.date2004-01-21
dc.date.accessioned2026-07-07T02:52:13Z
dc.date.available2026-07-07T02:52:13Z
dc.descriptionTossing a coin is the most elementary Monte Carlo experiment. In a computer the coin is replaced by a pseudo random number generator. It can be shown analytically and by exact enumerations that popular random number generators are not capable of imitating a fair coin: pseudo random coins show more heads than tails. This bias explains the empirically observed failure of some random number generators in random walk experiments. It can be traced down to the special role of the value zero in the algebra of finite fields.
dc.description10 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0307138
dc.identifierhttp://arxiv.org/abs/cond-mat/0307138
dc.identifierJ. Stat. Phys. 114 (2004), 1149-1169
dc.identifierdoi:10.1023/B:JOSS.0000012521.67853.9a
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21759
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titlePseudo Random Coins Show More Heads Than Tails
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