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JOURNAL OF
ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

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

Jason Fulman

DOI: 10.1023/A:1021177012548

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.

Pages: 165–194

Keywords: card shuffling; RSK correspondence; cycle index; increasing subsequence

Full Text: PDF

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