Geodesic
Duality principle for percolation in random fields on a~plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 32-39

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A study is made of a duality problem for percolation of a continuous random field in a plane rectangle. This problem arose in physics in connection with the study of critical phenomena in disordered systems. A duality theorem which is stated and proved improves the theorem that exists in the physical literature for smooth random fields. 
@article{TMF_1986_67_1_a3,
     author = {A. K. Stepanov},
     title = {Duality principle for percolation in random fields on a~plane},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {32--39},
     publisher = {mathdoc},
     volume = {67},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a3/}
}
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A. K. Stepanov. Duality principle for percolation in random fields on a~plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 32-39. http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a3/