Diskretnaya Matematika
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



Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Diskretnaya Matematika, 1992, Volume 4, Issue 3, Pages 128–134 (Mi dm754)  

This article is cited in 5 scientific papers (total in 5 papers)

Some classes of permutations with cycle lengths in a given set

A. L. Yakymiv
Full-text PDF (508 kB) Citations (5)
Abstract: We consider the classes $T_n$ of permutations of degree $n$ whose cycle lengths belong to a set $A\subseteq\mathbb N$, where the set $A$ is completely determined by a given regularly varying function $g(t)$ and a finite union $\Delta$ of intervals from $[0,1]$. We find the asymptotics of the number of elements of $T_n$ as $n \to\infty$. The limit theorems on the total number of cycles and the number of cycles of a fixed length in random permutations uniformly distributed on $T_n$ are proved. This paper continues the investigations we started in [ibid. 1, No. 1, 105–116 (1991; Zbl 0728.05004)].
Received: 23.04.1991
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. L. Yakymiv, “Some classes of permutations with cycle lengths in a given set”, Diskr. Mat., 4:3 (1992), 128–134; Discrete Math. Appl., 3:2 (1993), 213–220
Citation in format AMSBIB
\Bibitem{Yak92}
\by A.~L.~Yakymiv
\paper Some classes of permutations with cycle lengths in a~given set
\jour Diskr. Mat.
\yr 1992
\vol 4
\issue 3
\pages 128--134
\mathnet{http://mi.mathnet.ru/dm754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1220975}
\zmath{https://zbmath.org/?q=an:0836.05005}
\transl
\jour Discrete Math. Appl.
\yr 1993
\vol 3
\issue 2
\pages 213--220
Linking options:
  • https://www.mathnet.ru/eng/dm754
  • https://www.mathnet.ru/eng/dm/v4/i3/p128
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024