Let {Xn; n 2 V N2} be a two-dimensional random fieldof independent identically distributed random variables indexed by somesubset V of lattice N2. For some sets V the strong law of large numberslimn!1;n2VΣk2V;k?nXk|n| = a.s.is equivalent toEX1 = andΣn2VP[|X1| > |n|] < 1:In this paper we characterize such sets V .
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机译：让{Xn; n 2 V N2}是由晶格N2的某个子集V索引的独立的，均匀分布的随机变量的二维随机场。对于某些集合V，大数强定律限制为！1;n2VΣk2V; k？nXk | n | = a.s.等效于EX1 =和∑n2VP [| X1 | > | n |] <1：在本文中，我们描述了这样的集合V。
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