Geodesic
The convergence to zero of Gaussian sequences
Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 531-538.

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Conditions for Gaussian sequences to converge to zero with unit probability are examined. A comparison theorem is proved, on the basis of which sufficient conditions are derived for the convergence to zero of Gaussian sequences, including, in particular, the previously known ones. 
@article{MZM_1977_21_4_a10,
     author = {V. V. Buldygin and V. S. Donchenko},
     title = {The convergence to zero of {Gaussian} sequences},
     journal = {Matemati\v{c}eskie zametki},
     pages = {531--538},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a10/}
}
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V. V. Buldygin; V. S. Donchenko. The convergence to zero of Gaussian sequences. Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 531-538. http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a10/