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 Diskr. Mat., 2003, Volume 15, Issue 3, Pages 145–159 (Mi dm212)

The occurrence of a gigantic component in a random permutation with a known number of cycles

N. I. Kazimirov

Abstract: We give conditions for emergence of a giant cycle in a random permutation with a given number of cycles and obtain limit distributions of the maximum cycle lengths in all domains of variation of the parameters.

DOI: 10.4213/dm212

Full text (in Russian): PDF file (900 kB)
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English version:
Discrete Mathematics and Applications, 2003, 13:5, 523–535

Bibliographic databases:

UDC: 519.2

Citation: N. I. Kazimirov, “The occurrence of a gigantic component in a random permutation with a known number of cycles”, Diskr. Mat., 15:3 (2003), 145–159

Citation in format AMSBIB
\Bibitem{Kaz03}
\by N.~I.~Kazimirov
\paper The occurrence of a gigantic component in a random permutation with a known number of cycles
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 3
\pages 145--159
\mathnet{http://mi.mathnet.ru/dm212}
\crossref{http://dx.doi.org/10.4213/dm212}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2021211}
\zmath{https://zbmath.org/?q=an:1048.60008}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 5
\pages 523--535
\crossref{http://dx.doi.org/10.1515/156939203322694781}