Showing 2024 · math.CAShow all
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math.CA2024
Pinned Dot Product Set Estimates
Paige Bright, Caleb Marshall, Steven Senger
We study a variant of the Falconer distance problem for dot products. In particular, for fractal subsets and , we study sets of the for…
math.CA2024
A Continuum Erdős-Beck Theorem
Paige Bright, Caleb Marshall
We prove a version of the Erdős--Beck Theorem from discrete geometry for fractal sets in all dimensions. More precisely, let Borel and be a…
math.CA2024
A Study Guide to "Kaufman and Falconer estimates for radial projections"
Paige Bright, Ryan Bushling, Caleb Marshall +1
This expository piece expounds on major themes and clarifies technical details of the paper "Kaufman and Falconer estimates for radial projections and a continuum version of Beck's…