Alan J. Chang

collaborators

3 papers

math.CA2025

Sharp Favard length of random Cantor sets

Alan Chang, Pablo Shmerkin, Ville Suomala

We show that for a large class of planar $1$ -dimensional random fractals $S$ , the Favard length $Fav (S (r))$ of the neighborhood $S (r)$ is comparable to $\log^{-1}(1/…

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 $W$ 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 $S^{2}$ in two probabilistically independent locations

Dmitriy Bilyk, Alan Chang, Otte Heinävaara +2

We consider random lines in $R^{3}$ (random with respect to the kinematic measure) and how they intersect $S^{2}$ . It is known that the entry point and the exit point…

Sharp Favard length of random Cantor sets

Prescribed projections and efficient coverings by curves in the plane

A random line intersects S2 in two probabilistically independent locations

A random line intersects $S^{2}$ in two probabilistically independent locations