Showing math.CAShow all
3 papers · 1 filter
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…
math.CA2024
Nikodym sets and maximal functions associated with spheres
Alan Chang, Georgios Dosidis, Jongchon Kim
We study spherical analogues of Nikodym sets and related maximal functions. In particular, we prove sharp -estimates for Nikodym maximal functions associated with spheres. As…