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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 3, Pages 558–566
DOI: https://doi.org/10.4213/tvp3695 (Mi tvp3695) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

Goncharov's method and its development in the analysis of different models of random permutations

G. I. Ivchenko, Yu. I. Medvedev

Moscow State Institute of Electronics and Mathematics
Full-text PDF (887 kB) Citations (10)
DOI: https://doi.org/10.4213/tvp3695
Abstract: We show the efficiency of the generating functions method first used by Goncharov who analyzed asymptotic properties of random permutations in a problem of investigating joint distributions of maximal cycle lengths of a random permutation in the Ewens model. The explicit form of the respective multidimensional Goncharov density and its generalizations are obtained.
Keywords: random permutation, random polynomial over finite field, generating function, limit theorem.
Received: 01.10.2001
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 3, Pages 518–526
DOI: https://doi.org/10.1137/S0040585X97979895
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. I. Ivchenko, Yu. I. Medvedev, “Goncharov's method and its development in the analysis of different models of random permutations”, Teor. Veroyatnost. i Primenen., 47:3 (2002), 558–566; Theory Probab. Appl., 47:3 (2003), 518–526
Citation in format AMSBIB
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\paper Goncharov's method and its development in the analysis of different models of random permutations
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\pages 558--566
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\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 3
\pages 518--526
\crossref{https://doi.org/10.1137/S0040585X97979895}
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  • https://doi.org/10.4213/tvp3695
  • https://www.mathnet.ru/eng/tvp/v47/i3/p558
    • This publication is cited in the following 10 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
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