论文标题

区分强度复发与范德尔摩特

Distinguishing sets of strong recurrence from van der Corput Sets

论文作者

Mountakis, Andreas

论文摘要

我们构建了一组强烈的复发,这不是一个范德尔摩带集。这表明,增强的范德尔摩带集类别是一组强烈复发的适当子类。此外,我们得出的是,强复发的一组不是范德尔摩带集的子类。这回答了Bergelson和Lesigne提出的一些问题。

We construct a set of strong recurrence which is not a van der Corput set. This shows that the class of enhanced van der Corput sets is a proper subclass of sets of strong recurrence. In addition, we derive that the class of sets of strong recurrence is not a subclass of van der Corput sets. This answers some questions asked by Bergelson and Lesigne.

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