A lower bound in the law of the iterated logarithm for general lacunary series
Studia Mathematica, Tome 222 (2014) no. 3, p. 207.

Voir la notice de l'article dans European Digital Mathematics Library

We prove a lower bound in a law of the iterated logarithm for sums of the form ∑ k = 1 N a k f ( n k x + c k ) where f satisfies certain conditions and the n k satisfy the Hadamard gap condition n k + 1 / n k ≥ q > 1 .
Classification : 60G46, 42A55, 60F15
Mots-clés : law of the iterated logarithm, lacunary series, martingale difference sequence 
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Charles N. Moore; Xiaojing Zhang. A lower bound in the law of the iterated logarithm for general lacunary series. Studia Mathematica, Tome 222 (2014) no. 3, p. 207. https://geodesic-test.mathdoc.fr/item/STUMA_2014__222_3_285486/