New discretised polynomial expander and incidence estimates
Abstract
We present two applications of recent developments in incidence geometry. One is a $δ$-discretised version of a particular `Elekes--Rónyai' expander problem. The second application is an incidence estimate addressing the scenario when both tubes, squares and their shadings satisfy non-concentration assumptions.
Fields of Study & Subjects
Point processes and geometric inequalities
Geometry and complex manifolds
Mathematical functions and polynomials
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 January 2026
- Document type
- Preprint