English

Fractal percolation is unrectifiable

Probability 2021-04-01 v3 Classical Analysis and ODEs

Abstract

We show that there exists 0<α0<10<\alpha_0<1 (depending on the parameters) such that the fractal percolation is almost surely purely α\alpha-unrectifiable for all α>α0\alpha>\alpha_0.

Keywords

Cite

@article{arxiv.1910.11796,
  title  = {Fractal percolation is unrectifiable},
  author = {Zoltán Buczolich and Esa Järvenpää and Maarit Järvenpää and Tamás Keleti and Tuomas Pöyhtäri},
  journal= {arXiv preprint arXiv:1910.11796},
  year   = {2021}
}

Comments

After the referee's report a restructured more readable version

R2 v1 2026-06-23T11:55:06.368Z