Some perfect cards shuffles (French title: Quelques mélanges parfaits de cartes) Export

@article{Lachal09, abstract = {In this paper, we study some cards shuffles which are used by magicians. We focus ourselves on the possibility to hit eventually the initial state after several shuffles. This is a classical problem arising in discrete dynamical systems. The computations are performed through an elementary approach, so the paper is easily accessible. ----- Dans cet article, on \'etudie quelques m\'elanges de cartes bien connus du monde de la magie. On examine en d\'etail l'\'eventualit\'e de reconstituer le jeu de cartes initial apr\`es plusieurs m\'elanges cons\'ecutifs. Il s'agit math\'ematiquement d'un probl\`eme de syst\`emes dynamiques discrets pour lequel on recherche explicitement une p\'eriode. Les calculs \'etant pr\'esent\'es de mani\`ere \'el\'ementaire, l'article se veut accessible \`a un large public.}, archivePrefix = {arXiv}, author = {Lachal, Aim\'{e}}, citeulike-article-id = {5896654}, citeulike-linkout-0 = {http://arxiv.org/abs/0910.0524}, citeulike-linkout-1 = {http://arxiv.org/pdf/0910.0524}, day = {3}, eprint = {0910.0524}, keywords = {french, fun, shuffle}, month = {Oct}, posted-at = {2009-10-06 08:24:04}, priority = {2}, title = {Some perfect cards shuffles (French title: Quelques m\'elanges parfaits de cartes)}, url = {http://arxiv.org/abs/0910.0524}, year = {2009} }

TY - JOUR ID - Lachal09 L3 - citeulike-article-id:5896654 N2 - In this paper, we study some cards shuffles which are used by magicians. We focus ourselves on the possibility to hit eventually the initial state after several shuffles. This is a classical problem arising in discrete dynamical systems. The computations are performed through an elementary approach, so the paper is easily accessible. ----- Dans cet article, on \'etudie quelques m\'elanges de cartes bien connus du monde de la magie. On examine en d\'etail l'\'eventualit\'e de reconstituer le jeu de cartes initial apr\`es plusieurs m\'elanges cons\'ecutifs. Il s'agit math\'ematiquement d'un probl\`eme de syst\`emes dynamiques discrets pour lequel on recherche explicitement une p\'eriode. Les calculs \'etant pr\'esent\'es de mani\`ere \'el\'ementaire, l'article se veut accessible \`a un large public. TI - Some perfect cards shuffles (French title: Quelques m\'elanges parfaits de cartes) KW - french KW - fun KW - shuffle AU - Lachal, Aimé PY - 2009/Oct/03/ UR - http://arxiv.org/abs/0910.0524 ER -