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arXiv · 1812.03269

The central limit theorem for Riesz-Raikov sums II

Katusi Fukuyama
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Abstract

For a $d\times d$ expanding matrix $A$, we investigate randomness of the sequence $\{A^k x\}$ and prove the central limit theorem for $\sum f(A^k x)$ where $f$ is a periodic function with a mild regularity condition.

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Katusi Fukuyama. 2018-12-08. The central limit theorem for Riesz-Raikov sums II. https://arxiv.org/abs/1812.03269

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