On recurrence property of Riesz–Raikov sums

K. Fukuyama, R. Kondo

Kobe University

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

Language: English

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