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

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Abstract

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.

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REFERENCES

  1. A. M. Vershik, “Statistical mechanics of combinatorial partitions, and their limit configurations,” Funct. Anal. Appl., 30, No.2, 90–105 (1996).

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  2. J. A. Green, “The characters of the finite general linear groups,” Trans. Amer. Math. Soc., 80, 402–447 (1955).

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Authors and Affiliations

  1. St. Petersburg State University, Russia

    F. V. Petrov

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  1. F. V. Petrov
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 301, 2003, pp. 219–228.

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Petrov, F.V. The Limit Shape of Young Diagrams for Multiplicative Statistics with Superpolynomial Growth. J Math Sci 129, 3800–3805 (2005). https://doi.org/10.1007/s10958-005-0315-8

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  • DOI: https://doi.org/10.1007/s10958-005-0315-8

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