Recursive models in percolation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 268-276

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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.
@article{TMF_1983_54_2_a10,
     author = {V. P. Bovin and V. V. Vas'kin and I. Ya. Shneiberg},
     title = {Recursive models in percolation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {268--276},
     publisher = {mathdoc},
     volume = {54},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a10/}
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V. P. Bovin; V. V. Vas'kin; I. Ya. Shneiberg. Recursive models in percolation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 268-276. http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a10/