9 citations · 30 across the 11 of their papers we have counts for
3 papers · 1 filter
On planar Nikodym-type sets
Alan Chang, Mingfeng Chen, Shaoming Guo +3
Nikodym constructed a measure-zero Borel set in the plane that contains a punctured line segment passing through each point in the unit square. Fenton and Falconer asked whether a…
Favard length of non-homogeneous random disc-like Cantor sets
Alan Chang, Damian Dąbrowski, Giacomo Del Nin
The Favard length of a planar set is the average length of its orthogonal projections. We provide sharp estimates for the Favard length decay of a random variant of the non-homogen…
Prescribed projections for a general class of maps and efficient covering by variable plane curves
Alan Chang, Robert Fraser, Alex McDonald +2
We prove a prescribed projection theorem for any class of non-linear projections defined on open subsets of the plane which satisfies some mild geometric conditions. This generaliz…