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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 62, Number 1, Pages 76–86 (Mi tmf4531)  
This article is cited in 13 scientific papers (total in 13 papers)

Continuous models of percolation theory. I

S. A. Zuev, A. F. Sidorenko
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Abstract: Percolation models in which defect centers are distributed randomly in space in accordance with Poisson's law and the shape of each defect is also random are considered. Coincidence of two critical points is proved. One of these corresponds to the time when the mean number of defects connected to a given defect becomes infinite. The other corresponds to the existence of percolation in an arbitrarily large region of space.
Received: 22.03.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 62, Issue 1, Pages 51–58
DOI: https://doi.org/10.1007/BF01034824
Bibliographic databases:
Language: Russian
Citation: S. A. Zuev, A. F. Sidorenko, “Continuous models of percolation theory. I”, TMF, 62:1 (1985), 76–86; Theoret. and Math. Phys., 62:1 (1985), 51–58
Citation in format AMSBIB
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\paper Continuous models of percolation theory.~I
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\pages 76--86
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=782099}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 1
\pages 51--58
\crossref{https://doi.org/10.1007/BF01034824}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ANK4300005}
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  • https://www.mathnet.ru/eng/tmf/v62/i1/p76
    Cycle of papers
    This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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