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Mathematics of the USSR-Sbornik, 1975, Volume 25, Issue 3, Pages 419–428
DOI: https://doi.org/10.1070/SM1975v025n03ABEH002215 (Mi sm3399) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On extremal points of the space of symmetric stochastic matrices

V. N. Sachkov
English version PDF (437 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1975v025n03ABEH002215
Abstract: Let Δn be the set of extremal points of the convex space of symmetric stochastic matrices of order n. Asymptotic formulas as n→∞ are found for the number of elements in Δn, and limit distributions are given for the number of positive elements in a random probability matrix C∈Δn and for the characteristic multiplicity of a random mapping from a set of permutations in Δn.
Bibliography: 4 titles.
Received: 30.07.1974
Bibliographic databases:
UDC: 519.1+519.27
MSC: Primary 15A51, 52A40; Secondary 52A20
Language: English
Original paper language: Russian
Citation: V. N. Sachkov, “On extremal points of the space of symmetric stochastic matrices”, Math. USSR-Sb., 25:3 (1975), 419–428
Citation in format AMSBIB
\Bibitem{Sac75}
\by V.~N.~Sachkov
\paper On extremal points of the space of symmetric stochastic matrices
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 3
\pages 419--428
\mathnet{http://mi.mathnet.ru/eng/sm3399}
\crossref{https://doi.org/10.1070/SM1975v025n03ABEH002215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=371932}
\zmath{https://zbmath.org/?q=an:0317.15014}
Linking options:
  • https://www.mathnet.ru/eng/sm3399
  • https://doi.org/10.1070/SM1975v025n03ABEH002215
  • https://www.mathnet.ru/eng/sm/v138/i3/p447
    • This publication is cited in the following 3 articles:
    1. Yu. V. Bolotnikov, V. N. Sachkov, V. E. Tarakanov, “On some classes of random variables on cycles of permutations”, Math. USSR-Sb., 36:1 (1980), 87–99  mathnet  crossref  mathscinet  zmath  isi
    2. Yu. V. Bolotnikov, V. N. Sachkov, V. E. Tarakanov, “Asymptotic normality of some variables connected with the cyclic structure of random permutations”, Math. USSR-Sb., 28:1 (1976), 107–117  mathnet  crossref  mathscinet  zmath  isi
    3. V. E. Tarakanov, V. P. Chistyakov, “On the cycle structure of random permutations”, Math. USSR-Sb., 25:4 (1975), 559–565  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:363
    Russian version PDF:94
    English version PDF:29
    References:64
    First page:2
     
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