Integer Cantor Sets: Arithmetic Combinatorial Properties
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910024492646400 |
|---|---|
| author | Burgin, Alex Fragkos, Anastasios Lacey, Michael T. Mena, Dario Reguera, Maria Carmen |
| author_facet | Burgin, Alex Fragkos, Anastasios Lacey, Michael T. Mena, Dario Reguera, Maria Carmen |
| contents | Cantor sets of integers have a rich set of arithmetic combinatorial properties. We consider classical Cantor sets, with a base and a fixed set of allowed digits. For such sets, we (a) give examples of such sets that satisfy the intersective property with power savings
(b) characterize uniform distribution, (c) establish polynomial mean ergodic theorems and (d) study metric pair correlation of Cantor sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15292 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integer Cantor Sets: Arithmetic Combinatorial Properties Burgin, Alex Fragkos, Anastasios Lacey, Michael T. Mena, Dario Reguera, Maria Carmen Dynamical Systems Classical Analysis and ODEs Cantor sets of integers have a rich set of arithmetic combinatorial properties. We consider classical Cantor sets, with a base and a fixed set of allowed digits. For such sets, we (a) give examples of such sets that satisfy the intersective property with power savings (b) characterize uniform distribution, (c) establish polynomial mean ergodic theorems and (d) study metric pair correlation of Cantor sets. |
| title | Integer Cantor Sets: Arithmetic Combinatorial Properties |
| topic | Dynamical Systems Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2602.15292 |