Incidence bounds related to circular Furstenberg sets
Classical Analysis and ODEs
2025-02-18 v1 Analysis of PDEs
Combinatorics
Abstract
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 -Furstenberg sets, which is new for large and .
Keywords
Cite
@article{arxiv.2502.10686,
title = {Incidence bounds related to circular Furstenberg sets},
author = {John Green and Terence L. J. Harris and Yumeng Ou and Kevin Ren and Sarah Tammen},
journal= {arXiv preprint arXiv:2502.10686},
year = {2025}
}
Comments
47 pages, 1 figure