Geodesic
On the behaviour of the variances of sums of random variables that form a stationary process
Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 3, pp. 484-494 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some sufficient conditions are obtained for unboundedness of the variances of sums of random variables that form a stationary sequence. A number of applications of these results (e.g. to continued fractions) is described. 
@article{TVP_1971_16_3_a5,
     author = {M. I. Gordin},
     title = {On the behaviour of the variances of sums of random variables that form a~stationary process},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {484--494},
     year = {1971},
     volume = {16},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/}
}
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M. I. Gordin. On the behaviour of the variances of sums of random variables that form a stationary process. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 3, pp. 484-494. http://geodesic.mathdoc.fr/item/TVP_1971_16_3_a5/