Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:252
    Full-text PDF :161
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024