Geodesic
On recurrence property of Riesz--Raikov sums
Lobachevskii journal of mathematics, Tome 26 (2007), pp. 27-31

Voir la notice de l'article provenant de la source Math-Net.Ru

The Riesz–Raikov sums $\sum f(\theta^kx)$ are recurrent in most cases.
Keywords: recurrence, lacunary series, Riesz–Raikov sums, non-conventional averages, mixing central limit theorem. 
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     title = {On recurrence property of {Riesz--Raikov} sums},
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K. Fukuyama; R. Kondo. On recurrence property of Riesz--Raikov sums. Lobachevskii journal of mathematics, Tome 26 (2007), pp. 27-31. http://geodesic.mathdoc.fr/item/LJM_2007_26_a3/