On sample continuity of random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 633-639

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Theorems 1 gives sufficient conditions for sample continuity of stochastic processes with multidimensional time parameter. Its proof uses a corollary of Sobolev's imbeding theorems, Theorem 2, and a technique of diodic expansions fairly common in proofs of sample continuity.
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     title = {On sample continuity of random fields},
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V. V. Yurinskii. On sample continuity of random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 633-639. http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a21/