Geodesic
Applications of symmetric functions to cycle and increasing subsequence structure after shuffles
Journal of Algebraic Combinatorics, Tome 16 (2002) no. 2, pp. 165-194.

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Summary: Using symmetric function theory, we study the cycle structure and increasing subsequence structure of permutations after iterations of various shuffling methods. We emphasize the role of Cauchy type identities and variations of the Robinson-Schensted-Knuth correspondence.
Keywords: card shuffling, RSK correspondence, cycle index, increasing subsequence 
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     title = {Applications of symmetric functions to cycle and increasing subsequence structure after shuffles},
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Fulman, Jason. Applications of symmetric functions to cycle and increasing subsequence structure after shuffles. Journal of Algebraic Combinatorics, Tome 16 (2002) no. 2, pp. 165-194. http://geodesic.mathdoc.fr/item/JAC_2002__16_2_a2/