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Recurrence properties of sequences of integers

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Abstract

In order to study the recurrence of sequences of integers, we investigate their L 2-exactness and Θ-Hartman property (Θ being a set of rational numbers). Two classes of sequences of integers are well studied, which are return times relative to a weakly mixing system and Bernoulli random sequences.

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Correspondence to AiHua Fan.

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Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday

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Fan, A., Schneider, D. Recurrence properties of sequences of integers. Sci. China Math. 53, 641–656 (2010). https://doi.org/10.1007/s11425-010-0044-4

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  • DOI: https://doi.org/10.1007/s11425-010-0044-4

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