Percolation in random fields. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 246-256 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{TMF_1983_55_2_a8,
     author = {S. A. Molchanov and A. K. Stepanov},
     title = {Percolation in random {fields.~I}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--256},
     year = {1983},
     volume = {55},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a8/}
}
TY  - JOUR
AU  - S. A. Molchanov
AU  - A. K. Stepanov
TI  - Percolation in random fields. I
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 246
EP  - 256
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a8/
LA  - ru
ID  - TMF_1983_55_2_a8
ER  - 
%0 Journal Article
%A S. A. Molchanov
%A A. K. Stepanov
%T Percolation in random fields. I
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 246-256
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a8/
%G ru
%F TMF_1983_55_2_a8
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/

[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