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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.13804 |
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| _version_ | 1866915457880031232 |
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| author | Mountakis, Andreas |
| author_facet | Mountakis, Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_13804 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Distinguishing sets of strong recurrence from van der Corput Sets Mountakis, Andreas Dynamical Systems 37A46 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. |
| title | Distinguishing sets of strong recurrence from van der Corput Sets |
| topic | Dynamical Systems 37A46 |
| url | https://arxiv.org/abs/2203.13804 |