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Journal of Algebraic Combinatorics

, Volume 16, Issue 2, pp 165–194 | Cite as

Applications of Symmetric Functions to Cycle and Increasing Subsequence Structure after Shuffles

  • Jason Fulman
Article

Abstract

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.

card shuffling RSK correspondence cycle index increasing subsequence 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Jason Fulman
    • 1
  1. 1.Department of MathematicsUniversity of PittsburghPittsburghUSA

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