FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 5, PAGES 117-138

Density modulo $1$ of lacunary and sublacunary sequences: application of Peres--Schlag's construction

N. G. Moshchevitin

Abstract

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The paper is concerned with the existence of badly approximable numbers in problems involving lacunary or sublacunary sequences. The principal results depend upon Peres--Schlag's method.

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