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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
References:
Abstract: Let ΔnΔn be the set of extremal points of the convex space of symmetric stochastic matrices of order nn. Asymptotic formulas as nn are found for the number of elements in ΔnΔn, and limit distributions are given for the number of positive elements in a random probability matrix CΔnCΔn and for the characteristic multiplicity of a random mapping from a set of permutations in ΔnΔn.
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
    Statistics & downloads:
    Abstract page:366
    Russian version PDF:94
    English version PDF:30
    References:64
    First page:2
     
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