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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 111–131 (Mi znsl3534)  
This article is cited in 5 scientific papers (total in 5 papers)

Limits shapes of Young diagrams. Two elementary approaches

F. Petrov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (657 kB) Citations (5)
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Abstract: We present a techniques for obtaining the limit shapes of Yong diagrams with respect to multiplicative measures, which arise in statistical mechanics. Our approach does not use neither complex analysis, nor Tauberian theorems. Also, we get the limit shape for bounded and unbounded partitions with respect to uniform measure, avoiding even generating functions. Bibl. – 6 titles.
Key words and phrases: partitions, limit shape.
Received: 08.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 1, Pages 63–74
DOI: https://doi.org/10.1007/s10958-010-9845-9
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.116
Language: Russian
Citation: F. Petrov, “Limits shapes of Young diagrams. Two elementary approaches”, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 111–131; J. Math. Sci. (N. Y.), 166:1 (2010), 63–74
Citation in format AMSBIB
\Bibitem{Pet09}
\by F.~Petrov
\paper Limits shapes of Young diagrams. Two elementary approaches
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 370
\pages 111--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3534}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 1
\pages 63--74
\crossref{https://doi.org/10.1007/s10958-010-9845-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949294422}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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