2 papers
math.CA2025
Simple proofs of discretised projection theorems
William O'Regan, Pablo Shmerkin, Hong Wang
We give a simple, short and self-contained presentation of Bourgain's discretised projection theorem from 2010, which is a fundamental tool in many recent breakthroughs in geometri…
math.CA2023
How much can heavy lines cover?
Damian Dąbrowski, Tuomas Orponen, Hong Wang
One formulation of Marstrand's slicing theorem is the following. Assume that , and is a Borel set with . Then,…