English

Fractal percolation and quasisymmetric mappings

Classical Analysis and ODEs 2020-04-17 v3

Abstract

We study the conformal dimension of fractal percolation and show that, almost surely, the conformal dimension of a fractal percolation is strictly smaller than its Hausdorff dimension.

Keywords

Cite

@article{arxiv.1905.11080,
  title  = {Fractal percolation and quasisymmetric mappings},
  author = {Eino Rossi and Ville Suomala},
  journal= {arXiv preprint arXiv:1905.11080},
  year   = {2020}
}

Comments

16 pages, 4 figures, minor corrections to previous version

R2 v1 2026-06-23T09:25:57.227Z