Geodesic
On absolute continuity and singularity of the distributions of random fields
Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 161-170 Cet article a éte moissonné depuis la source Math-Net.Ru

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A criterion is obtained for the absolute continuity or singularity of probability measures corresponding to certain classes of two-parameter discrete random fields. The proof is based on some lemmas which describe the sets of convergence of two-parameter semimartingales. Bibliography: 5 titles. 
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     title = {On absolute continuity and singularity of the distributions of random fields},
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A. A. Gushchin. On absolute continuity and singularity of the distributions of random fields. Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 161-170. http://geodesic.mathdoc.fr/item/SM_1983_46_2_a1/

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[2] Rozanov Yu. A., Markovskie sluchainye polya, Nauka, M., 1981 | MR | Zbl

[3] Cairoli R., Une inégalité'pour martingales à indices multiples et ses applications, V. 124 (Séminaire de Probabilités IV), Lecture Notes Math., Springer-Verlag, 1970 | MR

[4] Cairoli R., Décomposition de processus à indices doubles, V. 191 (Séminaire de Probabilités V), Lecture Notes Math., Springer-Verlag | MR

[5] Maniya M. G., “Ob absolyutnoi nepreryvnosti i singulyarnosti veroyatnostnykh raspredelenii sluchainykh polei”, DAN SSSR, 253:3 (1980), 530–533 | MR