Geodesic
Percolation in random fields.~III
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 177-185

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An ergodic symmetrically distributed random field on a plane with infinitely smooth realizations and finite moments up to any order inclusively that does not admit percolation at any level $-\infty$ is constructed. 
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     author = {S. A. Molchanov and A. K. Stepanov},
     title = {Percolation in random {fields.~III}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a1/}
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S. A. Molchanov; A. K. Stepanov. Percolation in random fields.~III. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 177-185. http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a1/