Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find






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


Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 1, Pages 129–140 (Mi tvp2276)  

This article is cited in 21 scientific papers (total in 21 papers)

On a constant arising in the asymtotic theory of symmetric groups

Zv. Ignatov

Bulgaria
Abstract: Let $x_1(g)\ge x_1(g)\ge\dots$ be the lengths of the cycles of the permutation $g\in S_n$ and
$$ \widetilde\Sigma=\{(\sigma_1,\sigma_2,\dots):\,\sigma_1\ge\sigma_2\ge\dots,\ \sigma_1+\sigma_2+\dots=1\} $$
The uniform probability distribution on $S_n$ and the map
$$ S_n\to\widetilde\Sigma:\,g\to(n^{-1}x_1(g),\,n^{-1}x_2(g),\dots) $$
generate a probability distribution on $\widetilde\Sigma$. We investigate some properties of this distribution when $n\to\infty$. In particular, we prove that the constant introduced in [1], [2] coincides with the Euler constant.
Received: 14.01.1980
English version:
Theory of Probability and its Applications, 1982, Volume 27, Issue 1, Pages 136–147
DOI: https://doi.org/10.1137/1127012
Bibliographic databases:
Language: Russian
Citation: Zv. Ignatov, “On a constant arising in the asymtotic theory of symmetric groups”, Teor. Veroyatnost. i Primenen., 27:1 (1982), 129–140; Theory Probab. Appl., 27:1 (1982), 136–147
Citation in format AMSBIB
\Bibitem{Ign82}
\by Zv.~Ignatov
\paper On a constant arising in the asymtotic theory of symmetric groups
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 1
\pages 129--140
\mathnet{http://mi.mathnet.ru/tvp2276}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=645134}
\zmath{https://zbmath.org/?q=an:0559.60046|0495.60055}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 27
\issue 1
\pages 136--147
\crossref{https://doi.org/10.1137/1127012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983QB14800012}
Linking options:
  • https://www.mathnet.ru/eng/tvp2276
  • https://www.mathnet.ru/eng/tvp/v27/i1/p129
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024