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

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

1991-10-11

arxiv.org/abs/math/9201295v1

Mathematics

Dynamical Systems

Scientific paper

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 $C^{1+\alpha}$-contracting mappings. This result is
an application of the geometric distortion lemma in the first paper at this
series.

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