English

On the quasisymmetrical classification of infinitely renormalizable maps: II. remarks on maps with a bounded type topology.

Dynamical Systems 2016-09-06 v1

Abstract

We use the upper and lower potential functions and Bowen's formula estimating the Hausdorff dimension of the limit set of a regular semigroup generated by finitely many C1+αC^{1+\alpha}-contracting mappings. This result is an application of the geometric distortion lemma in the first paper at this series.

Keywords

Cite

@article{arxiv.math/9201295,
  title  = {On the quasisymmetrical classification of infinitely renormalizable maps: II. remarks on maps with a bounded type topology.},
  author = {Yunping Jiang},
  journal= {arXiv preprint arXiv:math/9201295},
  year   = {2016}
}