RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

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

 Mat. Zametki, 2010, Volume 88, Issue 5, Pages 792–800 (Mi mz7702)

Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation

A. L. Yakymiv

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We consider random permutations uniformly distributed on the set of all permutations of degree $n$ whose cycle lengths belong to a fixed set $A$ (the so-called $A$-permutations). In the present paper, we establish an asymptotics of the moments of the total number of cycles and of the number of cycles of given length of this random permutation as $n\to\infty$.

Keywords: random $A$-permutation, number of cycles of a permutation, uniform distribution, moments of the total number of cycles, slowly varying function

DOI: https://doi.org/10.4213/mzm7702

Full text: PDF file (491 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2010, 88:5, 759–766

Bibliographic databases:

UDC: 519.2

Citation: A. L. Yakymiv, “Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation”, Mat. Zametki, 88:5 (2010), 792–800; Math. Notes, 88:5 (2010), 759–766

Citation in format AMSBIB
\Bibitem{Yak10} \by A.~L.~Yakymiv \paper Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation \jour Mat. Zametki \yr 2010 \vol 88 \issue 5 \pages 792--800 \mathnet{http://mi.mathnet.ru/mz7702} \crossref{https://doi.org/10.4213/mzm7702} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2868401} \transl \jour Math. Notes \yr 2010 \vol 88 \issue 5 \pages 759--766 \crossref{https://doi.org/10.1134/S0001434610110155} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000288489700015} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78651247377}