Journal of Mathematical Sciences

, Volume 129, Issue 2, pp 3800–3805 | Cite as

The Limit Shape of Young Diagrams for Multiplicative Statistics with Superpolynomial Growth

  • F. V. Petrov


We obtain the limit shape of Young diagrams for a class of multiplicative statistics. In particular, we find the limit shape corresponding to J. Green’s function enumerating the characters of GL(n, Fq). Bibliography: 2 titles.


Young Diagram Limit Shape Multiplicative Statistic Superpolynomial Growth 


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  1. 1.
    A. M. Vershik, “Statistical mechanics of combinatorial partitions, and their limit configurations,” Funct. Anal. Appl., 30, No.2, 90–105 (1996).Google Scholar
  2. 2.
    J. A. Green, “The characters of the finite general linear groups,” Trans. Amer. Math. Soc., 80, 402–447 (1955).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • F. V. Petrov
    • 1
  1. 1.St. Petersburg State UniversityRussia

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