2 papers
math.CA2026
Sharp Favard length of random Cantor sets
Alan Chang, Pablo Shmerkin, Ville Suomala
We show that for a large class of planar -dimensional random fractals , the Favard length of the neighborhood is comparable to $\log^{-1}(1/…
math.CA2025
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…