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Lobachevskii Journal of Mathematics, 2007, Volume 26, Pages 27–31 (Mi ljm24)  
On recurrence property of Riesz–Raikov sums

K. Fukuyama, R. Kondo

Kobe University
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Abstract: 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.
Submitted by: D. Kh. Mushtari
Received: 12.01.2007
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Language: English
Citation: K. Fukuyama, R. Kondo, “On recurrence property of Riesz–Raikov sums”, Lobachevskii J. Math., 26 (2007), 27–31
Citation in format AMSBIB
\Bibitem{FukKon07}
\by K.~Fukuyama, R.~Kondo
\paper On recurrence property of Riesz--Raikov sums
\jour Lobachevskii J. Math.
\yr 2007
\vol 26
\pages 27--31
\mathnet{http://mi.mathnet.ru/ljm24}
\zmath{https://zbmath.org/?q=an:1141.60010}
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