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Symmetric multiplicative statistics

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Abstract

A family of multiplicative statistics on integer partitions that are symmetric under the conjunction of Young diagrams is constructed. It is shown that all symmetric multiplicative statistics lie in this family. A limit shape of Young diagrams under these statistics is found.

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References

  1. A. M. Vershik, “Statistical mechanics of combinatorial partitions and their limit configurations,”Funct. And.,30, No. 2, 19–39 (1996).

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Authors
  1. Yu. V. Yakubovich
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 240, 1997, pp. 280–289.

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Yakubovich, Y.V. Symmetric multiplicative statistics. J Math Sci 96, 3624–3629 (1999). https://doi.org/10.1007/BF02175839

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  • DOI: https://doi.org/10.1007/BF02175839

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