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math.CA2023
Prescribed projections and efficient coverings by curves in the plane
Alan Chang, Alex McDonald, Krystal Taylor
Davies efficient covering theorem states that an arbitrary measurable set in the plane can be covered by full lines so that the measure of the union of the lines has the same m…
math.PR2023
A random line intersects in two probabilistically independent locations
Dmitriy Bilyk, Alan Chang, Otte Heinävaara +2
We consider random lines in (random with respect to the kinematic measure) and how they intersect . It is known that the entry point and the exit point…