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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 54, Number 2, Pages 268–276 (Mi tmf2119)  
This article is cited in 4 scientific papers (total in 4 papers)

Recursive models in percolation theory

V. P. Bovin, V. V. Vas'kin, I. Ya. Shneiberg

Udmurt State University
Full-text PDF (503 kB) Citations (4)
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Abstract: Lattice models of the conductivity of random media with uncorrelated bonds are considered. Geometrical and physical conductivity functions are introduced. It is shown by means of the Moore–Shannon inequality for recursive models that the critical points of these functions coincide. Simple estimates are made for the physical conductivity function. The obtained results are compared with known data on the conductivity of homogeneous lattices.
Received: 25.02.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 54, Issue 2, Pages 175–181
DOI: https://doi.org/10.1007/BF01129191
Bibliographic databases:
Language: Russian
Citation: V. P. Bovin, V. V. Vas'kin, I. Ya. Shneiberg, “Recursive models in percolation theory”, TMF, 54:2 (1983), 268–276; Theoret. and Math. Phys., 54:2 (1983), 175–181
Citation in format AMSBIB
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\paper Recursive models in percolation theory
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\pages 268--276
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\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 2
\pages 175--181
\crossref{https://doi.org/10.1007/BF01129191}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RG50200011}
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  • https://www.mathnet.ru/eng/tmf2119
  • https://www.mathnet.ru/eng/tmf/v54/i2/p268
    • This publication is cited in the following 4 articles:
    1. Deli Li, T. D. Rogers, “Asymptotic behavior for iterated functions of random variables”, Ann. Appl. Probab., 9:4 (1999)  crossref
    2. V. P. Bovin, I. Ya. Shneiberg, “Magnetization in the ising model on hierarchical lattices”, Theoret. and Math. Phys., 74:3 (1988), 320–323  mathnet  crossref  mathscinet  isi
    3. S. M. Kozlov, “Averagind of difference schemes”, Math. USSR-Sb., 57:2 (1987), 351–369  mathnet  crossref  mathscinet  zmath
    4. P. Collet, Statistical Physics and Dynamical Systems, 1985, 105  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:69
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