New discretised polynomial expander and incidence estimates
Abstract
Abstract We present two applications of recent developments in incidence geometry. One is a ‐discretised version of a particular ‘Elekes–Rónyai’ expander problem. The second is an incidence estimate addressing the scenario in which 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
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 10
- Publication date
- 21 September 2026
- Language
- EN