On infinite sumsets and sets of multiple recurrence
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911210950098944 |
|---|---|
| author | Hetzel, Luke |
| author_facet | Hetzel, Luke |
| contents | We answer two questions of Kra, Moreira, Richter and Robertson regarding the existence of infinite sumsets of the form $B + C$ in dense and sparse sets of integers and the relation of sumsets to sets of recurrence. We then further generalize these results, yielding new characterizations of sets of multiple measurable and topological recurrence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On infinite sumsets and sets of multiple recurrence Hetzel, Luke Dynamical Systems Combinatorics Primary 37A44, Secondary 37B20 We answer two questions of Kra, Moreira, Richter and Robertson regarding the existence of infinite sumsets of the form $B + C$ in dense and sparse sets of integers and the relation of sumsets to sets of recurrence. We then further generalize these results, yielding new characterizations of sets of multiple measurable and topological recurrence. |
| title | On infinite sumsets and sets of multiple recurrence |
| topic | Dynamical Systems Combinatorics Primary 37A44, Secondary 37B20 |
| url | https://arxiv.org/abs/2510.12906 |