The Identity Is The
نویسندگان
چکیده
Let a deck of n cards be shuffled by successively exchanging the cards in positions 1, 2,. .. , n with cards in randomly chosen positions. We show that for n ≥ 18, the identity permutation is the most likely. We prove a surprising symmetry of the resulting distribution on permutations. We also obtain the limiting distribution of the number of fixed points as n → ∞.
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