Geodesic
Percolation in random fields. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 246-256 
S. A. Molchanov; A. K. Stepanov. Percolation in random fields. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 246-256. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a8/
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     title = {Percolation in random {fields.~I}},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A criterion of percolation in fields on the lattice $\mathbb Z^\nu$, is formulated. Examples of fields of the classes PF and NPF are given.

[1] Shklovskii B. I., Efros A. L., Elektronnye svoistva legirovannykh poluprovodnikov, Nauka, M., 1979

[2] Mityushin L. G., Probl. peredachi inform., 11:3 (1975), 101–103 | MR | Zbl

[3] Smyth R. T., Wierman John C., First passage percolation on the square lattice, Lect. Notes Math., 671, Springer-Verlag, 1978 | DOI | MR | Zbl

[4] Kesten Harry, Commun. Math. Phys., 74 (1980), 41–59 | DOI | MR | Zbl

[5] Russo L., Z. Wahr. Verw. Geb., 43 (1978), 39–48 | DOI | MR | Zbl

[6] Higuchi Ya., Coexistence of the infinite $(*)$ clusters: A remark on the square lattice site percolation, Preprint, 1981 | MR

[7] Fisher M., Sykes M. F., Phys. Rev., 114:1 (1959), 45–58 | DOI | MR

[8] Shante V. K. S., Kirkpatrick S., Adv. Phys., 20:85 (1971), 325–357 | DOI

[9] Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Mir, M., 1965 | MR

[10] Bentkus R., Rudzkis R., Lit. matem. sb., 20:1 (1980), 15–30 | MR | Zbl

[11] Grenander U., Sege G., Teplitsevy formy i ikh prilozheniya, IL, M., 1961 | MR

[12] Piterbarg V. I., “Peremeshivanie kvantovannykh sluchainykh protsessov”, Issledovaniya po sluchainym polyam, no. 50, Izd-vo MGU, M., 1974, 59–78