Esa Järvenpää: Fractal percolation is unrectifiable

We show that there exists \(0<\alpha_0<1\) (depending on the parameters) such that the fractal percolation is almost surely purely \(\alpha\)-unrectifiable for all \(\alpha>\alpha_0\). This is joint work with Zoltan Buczolich, Maarit Järvenpää, Tamas Keleti and Tuomas Pöyhtäri.