Measure and dimension theory of permeable sets and its applications to fractals

Gunther Leobacher, Tapio Rajala, Alexander Steinicke +1

We study {\it permeable} sets. These are sets \(Θ\subset \mathbb{R}^d\) which have the property that each two points \(x,y\in \mathbb{R}^d\) can be connected by a short path \(γ\…