English

Geometric rigidity of a class of fractal sets

Dynamical Systems 2017-01-31 v1

Abstract

We study geometric rigidity of a class of fractals, which is slightly larger than the collection of self-conformal sets. Namely, using a new method, we shall prove that a set of this class is contained in a smooth submanifold or is totally spread out.

Keywords

Cite

@article{arxiv.1701.08586,
  title  = {Geometric rigidity of a class of fractal sets},
  author = {Antti Käenmäki},
  journal= {arXiv preprint arXiv:1701.08586},
  year   = {2017}
}