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Matematicheskie Zametki, 1978, Volume 23, Issue 6, Pages 895–898 (Mi mzm8191)  

Distribution of the number of nonappearing lengths of cycles in a random mapping

A. S. Ambrosimov
Abstract: One-to-one random mappings of the set $\{1,2,\dots,n\}$ onto itself are considered. Limit theorems are proved for the quantities $\mu_i$, $0\le i\le n$, $\max\limits_{0\le i\le n}\mu_i$, $\min\limits_{0\le i\le n}\mu_i$, where $\mu_i$ is the number of 0leilen components of the vector ($\alpha_1,\alpha_2,\dots,\alpha_n$) which are equal to $i$, $0\le i\le n$ and $\alpha_r$ is the number of components of dimension $r$ of the random mapping.
Received: 17.12.1976
English version:
Mathematical Notes, 1978, Volume 23, Issue 6, Pages 490–492
DOI: https://doi.org/10.1007/BF01431434
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. S. Ambrosimov, “Distribution of the number of nonappearing lengths of cycles in a random mapping”, Mat. Zametki, 23:6 (1978), 895–898; Math. Notes, 23:6 (1978), 490–492
Citation in format AMSBIB
\Bibitem{Amb78}
\by A.~S.~Ambrosimov
\paper Distribution of the number of nonappearing lengths of cycles in a~random mapping
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 6
\pages 895--898
\mathnet{http://mi.mathnet.ru/mzm8191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=502058}
\zmath{https://zbmath.org/?q=an:0405.60035|0384.60024}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 6
\pages 490--492
\crossref{https://doi.org/10.1007/BF01431434}
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    Математические заметки Mathematical Notes
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