Journal of Algebraic Combinatorics

, Volume 16, Issue 2, pp 151–163 | Cite as

Rapidly Mixing Random Walks and Bounds on Characters of the Symmetric Group

  • Nathan Lulov
  • Igor Pak


We investigate mixing of random walks on Sn and An generated by permutations of a given cycle structure. The approach follows methods developed by Diaconis, which requires certain estimates on characters of the symmetric group and uses combinatorics of Young tableaux. We conclude with conjectures and open problems.

random walks on groups symmetric group Young tableaux 


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Nathan Lulov
    • 1
  • Igor Pak
    • 2
  1. 1.DIMACS CenterRutgers UniversityPiscatawayUSA
  2. 2.Department of MathematicsMITCambridgeUSA

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