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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 280–289 (Mi znsl479)  
Symmetric multiplicative statistics

Yu. V. Yakubovich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (169 kB)
Abstract: The author constructs the family of multiplicative statistics on integer partitions that are symmetric in the sense that the statistics is invariant under conjunction of Young diagram. It is shown that all symmetric multiplicative statistics lie in this family. A limit shape of Young diagrams under these statistics is found.
Received: 02.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3624–3629
DOI: https://doi.org/10.1007/BF02175839
Bibliographic databases:
UDC: 519.212.2
Language: Russian
Citation: Yu. V. Yakubovich, “Symmetric multiplicative statistics”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 280–289; J. Math. Sci. (New York), 96:5 (1999), 3624–3629
Citation in format AMSBIB
\Bibitem{Yak97}
\by Yu.~V.~Yakubovich
\paper Symmetric multiplicative statistics
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 280--289
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl479}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691651}
\zmath{https://zbmath.org/?q=an:0937.05009}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3624--3629
\crossref{https://doi.org/10.1007/BF02175839}
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