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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}
Linking options:
  • https://www.mathnet.ru/eng/znsl4385
  • https://www.mathnet.ru/eng/znsl/v223/p148
    • This publication is cited in the following 6 articles:
    1. Valentin Bahier, “On a limiting point process related to modified permutation matrices”, ALEA, 17:1 (2020), 65  crossref
    2. Valentin Bahier, “Characteristic polynomials of modified permutation matrices at microscopic scale”, Stochastic Processes and their Applications, 129:11 (2019), 4335  crossref
    3. Joseph Najnudel, Ashkan Nikeghbali, Lecture Notes in Mathematics, 2123, Séminaire de Probabilités XLVI, 2014, 481  crossref
    4. Paul Bourgade, Joseph Najnudel, Ashkan Nikeghbali, “A Unitary Extension of Virtual Permutations”, International Mathematics Research Notices, 2013:18 (2013), 4101  crossref
    5. Bourgade P., Nikeghbali A., Rouault A., “Ewens Measures on Compact Groups and Hypergeometric Kernels”, Seminaire de Probabilites XLIII, Lecture Notes in Mathematics, 2006, 2011, 351–377  crossref  zmath  isi
    6. N. V. Tsilevich, “Stationary random partitions of positive integers”, Theory Probab. Appl., 44:1 (2000), 60–74  mathnet  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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