Incidence bounds related to circular Furstenberg sets
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912233304358912 |
|---|---|
| author | Green, John Harris, Terence L. J. Ou, Yumeng Ren, Kevin Tammen, Sarah |
| author_facet | Green, John Harris, Terence L. J. Ou, Yumeng Ren, Kevin Tammen, Sarah |
| contents | We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(u,v)$-Furstenberg sets, which is new for large $u$ and $v$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Incidence bounds related to circular Furstenberg sets Green, John Harris, Terence L. J. Ou, Yumeng Ren, Kevin Tammen, Sarah Classical Analysis and ODEs Analysis of PDEs Combinatorics 28A80, 28A78 We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(u,v)$-Furstenberg sets, which is new for large $u$ and $v$. |
| title | Incidence bounds related to circular Furstenberg sets |
| topic | Classical Analysis and ODEs Analysis of PDEs Combinatorics 28A80, 28A78 |
| url | https://arxiv.org/abs/2502.10686 |