Incidence Estimates for Tubes in Complex Space
Classical Analysis and ODEs
2026-01-01 v3
Abstract
In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer's distance set problem in .
Cite
@article{arxiv.2210.05477,
title = {Incidence Estimates for Tubes in Complex Space},
author = {Sarah Tammen and Lingxian Zhang},
journal= {arXiv preprint arXiv:2210.05477},
year = {2026}
}
Comments
28 Pages. Typos fixed. Accepted in the Journal of Fractal Geometry