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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 373, Pages 77–93 (Mi znsl3575)  
This article is cited in 12 scientific papers (total in 13 papers)

Numerical experiments in problems of asymptotic representation theory

A. M. Vershika, D. Pavlovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State Polytechnical University, St. Petersburg, Russia
Full-text PDF (335 kB) Citations (13)
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Abstract: The article presents the results of experiments in computation of statistical values related to Young diagrams, including the estimates on maximum and average (by Plancherel distribution) dimension of irreducible representation of symmetric group $S_n$. The computed limit shapes of two-dimensional and three-dimensional diagrams distributed by Richardson statistics are presented as well. Bibl. – 14 titles.
Key words and phrases: Young tableaux, Young diagrams, representations of symmetric group, dimension of irreducible representation, limit shape.
Received: 09.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 3, Pages 351–361
DOI: https://doi.org/10.1007/s10958-010-9986-x
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: A. M. Vershik, D. Pavlov, “Numerical experiments in problems of asymptotic representation theory”, Representation theory, dynamical systems, combinatorial methods. Part XVII, Zap. Nauchn. Sem. POMI, 373, POMI, St. Petersburg, 2009, 77–93; J. Math. Sci. (N. Y.), 168:3 (2010), 351–361
Citation in format AMSBIB
\Bibitem{VerPav09}
\by A.~M.~Vershik, D.~Pavlov
\paper Numerical experiments in problems of asymptotic representation theory
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVII
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 373
\pages 77--93
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3575}
\elib{https://elibrary.ru/item.asp?id=15336578}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 3
\pages 351--361
\crossref{https://doi.org/10.1007/s10958-010-9986-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954760657}
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  • https://www.mathnet.ru/eng/znsl/v373/p77
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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