Improved bounds for radial projections in the plane

2025/08/25 by Csornyei, Marianna, Stull, D. M. · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.18228

Abstract

We improve the best known lower bound for the dimension of radial projections of sets in the plane. We show that if X,Y are Borel sets in \R², X is not contained in any line and dim_H(X)>0, then sup_{x∈ X} dim_H(π_x Y) ≥ min\(dim_H(Y) + dim_H(X))/2, dim_H(Y), 1\, where π_x Y is the radial projection of the set Y from the point x.

Citations

• Pinned distances of planar sets with low dimension
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Cited by

• Algorithmic Information Bounds for Distances and Orthogonal Projections

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