Falconer-type estimates for dot products

zbMath1476.28003arXiv2006.09344MaRDI QIDQ5010080

Steven Senger, Alexander Iosevich

Publication date: 24 August 2021

Full work available at URL: https://arxiv.org/abs/2006.09344

zbMATH Keywords

Falconer distance problem

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Cites Work

• Fourier integral operators, fractal sets, and the regular value theorem
• Extremal problems in discrete geometry
• On Falconer's distance set problem in the plane
• On the Hausdorff dimensions of distance sets
• Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets
• Sharpness of Falconer’s Estimate and the Single Distance Problem in $$\mathbb{Z}_{q}^{d}$$
• On Sets of Distances of n Points
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