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A rule of thumb for riffle shuffling

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arxiv 0908.3462 v1 pith:CEPOE362 submitted 2009-08-24 math.PR math.CO

A rule of thumb for riffle shuffling

classification math.PR math.CO
keywords featuresinterestonlyriffleruleshufflesthumbaccurate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study how many riffle shuffles are required to mix n cards if only certain features of the deck are of interest, e.g. suits disregarded or only the colors of interest. For these features, the number of shuffles drops from 3/2 log_2(n) to log_2(n). We derive closed formulae and an asymptotic `rule of thumb' formula which is remarkably accurate.

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