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Quadrature n° 76 (2010) 13-25
Mélanges parfaits de cartes (I)
In-shuffles et out-shuffles
Aimé Lachal
Auteur de correspondance : aime.lachal@insa-lyon.fr
Dans cet article, suivi d'un article compagnon qui paraîtra dans le prochain numéro de Quadrature, on étudie quelques mélanges de cartes bien connus du monde de la magie. On examine en détail l'éventualité de reconstituer le jeu de cartes initial après plusieurs mélanges consécutifs. Il s'agit mathématiquement d'un problème de systèmes dynamiques discrets pour lequel on recherche explicitement une période. Les calculs reposant sur des considérations algébriques élémentaires, l'article se veut accessible à un large public.
© EDP Sciences, 2010
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