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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 44–52 (Mi znsl464)  
This article is cited in 22 scientific papers (total in 22 papers)

Multiplicative central measures on Schur graph

A. M. Borodin

M. V. Lomonosov Moscow State University
Full-text PDF (186 kB) Citations (22)
Abstract: We define the Schur graph as the graph of shifted Young diagrams. Multiplicative central measures on this graph have a characteristic property: their transition probabilities differ from those of standard Plancherel's measures by a factor that depends on the added box and on the order of the diagram. We found all such measures and show that they are parametrized by one positive real number.
Received: 20.09.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3472–3477
DOI: https://doi.org/10.1007/BF02175824
Bibliographic databases:
UDC: 512.547
Language: Russian
Citation: A. M. Borodin, “Multiplicative central measures on Schur graph”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 44–52; J. Math. Sci. (New York), 96:5 (1999), 3472–3477
Citation in format AMSBIB
\Bibitem{Bor97}
\by A.~M.~Borodin
\paper Multiplicative central measures on Schur graph
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 44--52
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl464}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691636}
\zmath{https://zbmath.org/?q=an:0938.43001}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3472--3477
\crossref{https://doi.org/10.1007/BF02175824}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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