A lower bound in the law of the iterated logarithm for general lacunary series

Charles N. Moore; Xiaojing Zhang

Studia Mathematica, Tome 223 (2014), p. 207-228 / Harvested from The Polish Digital Mathematics Library

Résumé

We prove a lower bound in a law of the iterated logarithm for sums of the form $\sum_{k = 1}^{N} a_{k} f (n_{k} x + c_{k})$ where f satisfies certain conditions and the $n_{k}$ satisfy the Hadamard gap condition $n_{k + 1} / n_{k} \geq q > 1$ .

Publié le : 2014-01-01

Zbl 1305.42003

EUDML-ID : urn:eudml:doc:285486

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     title = {A lower bound in the law of the iterated logarithm for general lacunary series},
     journal = {Studia Mathematica},
     volume = {223},
     year = {2014},
     pages = {207-228},
     zbl = {1305.42003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-2}
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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 223 (2014) pp. 207-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm222-3-2/