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  • Persi Diaconis - yaroslavvb. com
    A sharp mathematical analysis for a natural model of riffle shuffling was carried out by Bayer and Diaconis (1992) This gives closed form expressions for the chance of any permutation and allows analytic approximation and exact numerical evaluation to show things like “seven shuffles are necessary and suffice to approximately randomize 52 cards”
  • Mathematical developments from the analysis of riffle shuffling
    Stanford, Calif : Dept of Statistics, Stanford University, 2002 Technical report (Stanford University Dept of Statistics) ; no 2002-16 Diaconis, Persi Aug 2002 Downloaded from http: statistics stanford edu ~ckirby techreports GEN 2002 2002-16 pdf on May 03, 2013
  • (PDF) Persi Diaconis - Stanford Universitystatweb. stanford. edu ~cgates . . .
    A sharp mathematical analysis for a natural model of riffle shuffling was carried out by Bayer and Diaconis (1992) This gives closed form expressions for the chance of any permutation and allows analytic approximation
  • How Many Shuffles to Randomize a Deck of Cards?
    How many shufj'ies to randomize a deck of cards? 0 < pi < 1and n! If p represents the row vector of these probabilities, of length n!, then one step of the shuffling process replaces p by the product pP, where P is an n!x n! matrix with non-negative entries and row sums equal to one; the entry Pijis the probability that the chain, if currently at state i, moves to state j at the next step
  • The Mathematics of Shuffling Cards - Sinica
    It turns out that carries form a Markov chain with 'an amazing transition matrix ' This same matrix comes up in analyzing the usual method of riffle shuffling cards I will explain the connection and 'the seven shuffles theorem' 'in English' for a general audience
  • The Mathematics of Shuffling Cards - Anna’s Archive
    This book gives a lively development of the mathematics needed to answer the question, “How many times should a deck of cards be shuffled to mix it up?” The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table
  • MATHEMATICAL DEVELOPMENTS FROM THE ANALYSIS OP RIFFLE SHUFFLING
    Abstract The following sections are included: Introduction Basic Shuffling History and Practical Consequences Other Measures of Randomness Some Mathematical Connections Descent Theory Connections w
  • (PDF) Card shuffling - Academia. edu
    We examine the most common model of card shuffling, the GSRshuffle We prove and analyze the meaning of the famous result that “seven riffle shuffles are sufficient to randomize a deck ” Then, this proof is extended to a deck with repeated cards
  • Persi Diaconis at Stanford
    Mathematical Developments from the Analysis of Riffle-Shuffling In Groups, Combinatorics and Geometry (Fuanou, A Liebeck, M , ed ), 73-97 World Scientific





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