Speaker
Ville Suomala, University of Oulu
Abstract
We show that for a broad family of one-dimensional random Cantor sets, the Favard length of their r-neighbourhoods is at most 1/log(1/r). This decay rate is known to be optimal, but had not previously been verified for any fractal set with positive one-dimensional Hausdorff measure. We also obtain a sharp asymptotic formula for the Favard length. Joint work with Alan Chang and Pablo Shmerkin.