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arXiv · 2309.04097

Discretized Radial Projections in $\mathbb{R}^d$

Kevin Ren
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Abstract

We generalize a Furstenberg-type result of Orponen-Shmerkin to higher dimensions, leading to an $\epsilon$-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 $\delta$-tubes and a quasi-product set of $\delta$-balls in $\mathbb{R}^d$.

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Kevin Ren. 2023-09-08. Discretized Radial Projections in $\mathbb{R}^d$. https://arxiv.org/abs/2309.04097

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