Incidence estimates for tubes in complex space
Abstract
In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang (2019) 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 \mathbb{C}^{2} .
Fields of Study & Subjects
Mathematical Approximation and Integration
Analytic and geometric function theory
Meromorphic and Entire Functions
Publication details
- Journal / source
- Journal of Fractal Geometry Mathematics of Fractals and Related Topics
- Volume
- 13
- Issue
- 3
- Pages
- 207–240
- Publication date
- 20 April 2026
- Language
- EN