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arXiv:1107.2961math.CO

Analysis of casino shelf shuffling machines

Persi Diaconis, Jason Fulman, Susan Holmes

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Abstract

Many casinos routinely use mechanical card shuffling machines. We were asked to evaluate a new product, a shelf shuffler. This leads to new probability, new combinatorics and to some practical advice which was adopted by the manufacturer. The interplay between theory, computing, and real-world application is developed.

arXiv comments
Published in at http://dx.doi.org/10.1214/12-AAP884 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal reference
Annals of Applied Probability 2013, Vol. 23, No. 4, 1692-1720
DOI
doi:10.1214/12-AAP884
Subjects
math.COCombinatorics math.PRProbability

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