Year: 2023
Type: preprint
Abstract: We generalize a Furstenberg-type result of Orponen-Shmerkin to higher dimensions, leading to an $ε$-improvement in Kaufman's projection theorem for hyperplanes and an unconditional discretized radial projection theorem in the spirit of Orponen-Shmerkin-Wang. Our proof relies on a new incidence estimate for $δ$-tubes and a quasi-product set of $δ$-balls in $\mathbb{R}^d$.
Source: arXiv (Cornell University)
Author: Ren, Kevin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386614546