Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää, Tamás Keleti,·2019-10-25·via math.PR updates on arXiv.org
We show that there exists $0<α_0<1$ (depending on the parameters) such that the fractal percolation is almost surely purely $α$-unrectifiable for all $α>α_0$.