Geodesic
Maximal Inequality for Weakly Dependent Random Fields
Matematičeskie zametki, Tome 75 (2004) no. 5, pp. 773-782

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We obtain a maximal inequality for weakly dependent random fields associated with decreasing covariances of functions (of a certain class) of elements of the field as the distance between the indexing sets tends to infinity. 
@article{MZM_2004_75_5_a12,
     author = {A. P. Shashkin},
     title = {Maximal {Inequality} for {Weakly} {Dependent} {Random} {Fields}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {773--782},
     publisher = {mathdoc},
     volume = {75},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_5_a12/}
}
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A. P. Shashkin. Maximal Inequality for Weakly Dependent Random Fields. Matematičeskie zametki, Tome 75 (2004) no. 5, pp. 773-782. http://geodesic.mathdoc.fr/item/MZM_2004_75_5_a12/