Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika"
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Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", 1986, Volume 24, Pages 53–110 (Mi intv65)  

This article is cited in 19 scientific papers (total in 20 papers)

Percolation theory and some applications

M. V. Men'shikov, S. A. Molchanov, A. F. Sidorenko
Abstract: The goal of the survey is to present mathematically rigorous results obtained in the recent years in the new mathematical discipline: percolation theory, which is on the border between the theory of random fields, stochastic geometry, and mathematical physics. Here not only classical percolation schemes are considered (bond and site problems on lattices) but also various generalizations that arose in connection with actual physical applications.
English version:
Journal of Soviet Mathematics, 1988, Volume 42, Issue 4, Pages 1766–1810
DOI: https://doi.org/10.1007/BF01095508
Bibliographic databases:
UDC: 519.248.25
Language: Russian
Citation: M. V. Men'shikov, S. A. Molchanov, A. F. Sidorenko, “Percolation theory and some applications”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 24, VINITI, Moscow, 1986, 53–110; J. Soviet Math., 42:4 (1988), 1766–1810
Citation in format AMSBIB
\Bibitem{MenMolSid86}
\by M.~V.~Men'shikov, S.~A.~Molchanov, A.~F.~Sidorenko
\paper Percolation theory and some applications
\serial Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern.
\yr 1986
\vol 24
\pages 53--110
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intv65}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=865158}
\zmath{https://zbmath.org/?q=an:0647.60103|0711.60102}
\transl
\jour J. Soviet Math.
\yr 1988
\vol 42
\issue 4
\pages 1766--1810
\crossref{https://doi.org/10.1007/BF01095508}
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  • https://www.mathnet.ru/eng/intv/v24/p53
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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