New discretised polynomial expander and incidence estimates
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.
Authors
- Ciprian Demeter (ORCID: https://orcid.org/0000-0001-6881-5597)
- William O'Regan (ORCID: https://orcid.org/0009-0006-6976-4123)
Institutions
- University of British Columbia (CA)
- Indiana University Bloomington (US)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-09-21
- DOI
- https://doi.org/10.1112/blms.70504
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Natural Sciences and Engineering Research Council of Canada