The Kruskal Count

Part of book or chapter of book, Preprint English OPEN
Lagarias, Jeffrey C.; Rains, Eric; Vanderbei, Robert J.;
  • Publisher: Springer
  • Subject: Mathematics - Optimization and Control | Mathematics - Probability | 60J10

The Kruskal Count is a card trick invented by Martin D. Kruskal (who is well known for his work on solitons) which is described in Fulves and Gardner (1975) and Gardner (1978, 1988). In this card trick a magician “guesses” one card in a deck of cards which is determined... View more
  • References (12)
    12 references, page 1 of 2

    [1] D. Aldons and P. Diaconis, Shuffling Cards and Stopping Times, Amer. Math. Monthly 93 (1986), 333-348.

    [2] P. Diaconis, Group Representations in Probability and Statistics, IMS Lecture Notes - Monograph Series No. 11, Institute of Math. Statistics, Hayward, Calif. 1988.

    [3] W. Doeblin, Expos´e de la theorie des chaines simple constantes de Markov ´a un nombre fini d'etats, Rev. Math Union Interbalkanique 2 (1938), 77-105.

    [4] M. D. Donsker and S. R. S. Varadhan, Asymptotic Evaluation of Certain Markov Process Expectations for Large Time I, Comm. Pure. Appl. Math. 28 (1975), 1-47.

    [5] C. Fulves and M. Gardner, The Kruskal Principle, The Pallbearers Review, June 1975.

    [6] M. Gardner, Mathematical Games, Sci. Amer. 238 (1978) No. 2 (February), 19-32.

    [7] M. Gardner, From Penrose Tiles to Trapdoor Ciphers, W. H. Freeman Co., New York, 1988. (Chapter 19)

    [8] D. Griffeath, Coupling Methods for Markov Processes, in: Studies in Probability and Ergodic Theory (G. C. Rota, Ed.), Academic Press, New York, 1978, pp. 1-43.

    [9] W. Haga and S. Robins, On Kruskal's Principle, in Organic Mathematics, (J. Borwein, P. Borwein, L Jorgenson, and R. Corless, Eds.), Canadian Math. Society Conference Proceedings, vol. 20, AMS: Providence, RI, 1997, pp. 407-412.

    [10] A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, Academic Press, New York, 1979.

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