Geodesic
Three-series theorems for locally compact groups
Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 225-241

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This article deals with conditions for the convergence of the product $\prod\limits_1^\infty\xi_n$ of independent random variables $\xi_n$ taking values in an arbitrary locally compact group $G$. For various types of groups necessary and sufficient conditions are given for the convergence of this product almost everywhere, expressed in terms of the group $G$. They can be regarded as analogues of the classical three-series theorem. Bibliography: 14 titles 
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     author = {V. M. Maksimov},
     title = {Three-series theorems for locally compact groups},
     journal = {Sbornik. Mathematics},
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     volume = {45},
     number = {2},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_45_2_a4/}
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V. M. Maksimov. Three-series theorems for locally compact groups. Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 225-241. http://geodesic.mathdoc.fr/item/SM_1983_45_2_a4/