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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 148–161 (Mi znsl4385)  
This article is cited in 6 scientific papers (total in 6 papers)

Combinatorial and algorithmic methods

Distribution of cycle lengths of infinite permutations

N. V. Tsilevich

Saint-Petersburg State University
Full-text PDF (555 kB) Citations (6)
Abstract: The aim of this paper is to show that the well-studied families of GEM and Poisson–Dirichlet measures may be obtained as distributions of normalized cycle lengths on the space of vitual pemutations (i.e., elements of a projective limit of symmetric groups). Two characterizations of Ewens distibutions are given. Bibliography: 9 titles.
Received: 10.10.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4072–4081
DOI: https://doi.org/10.1007/BF02355803
Bibliographic databases:
Document Type: Article
UDC: 519.217+517.986
Language: Russian
Citation: N. V. Tsilevich, “Distribution of cycle lengths of infinite permutations”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 148–161; J. Math. Sci. (New York), 87:6 (1997), 4072–4081
Citation in format AMSBIB
\Bibitem{Tsi95}
\by N.~V.~Tsilevich
\paper Distribution of cycle lengths of infinite permutations
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 148--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374318}
\zmath{https://zbmath.org/?q=an:0909.60011|0887.60011}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4072--4081
\crossref{https://doi.org/10.1007/BF02355803}
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  • https://www.mathnet.ru/eng/znsl/v223/p148
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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