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Examples of coarse expanding conformal maps. (English) Zbl 1267.37047

In this interesting paper, the authors give further concerete examples of topologically coarse expending conformal and metrically coarse expanding conformal dynamical systems, introduced in their earlier work [Coarse expanding conformal dynamics. Astérisque 325. Paris: Société Mathématique de France (SMF) (2009; Zbl 1206.37002)], give applications of their general methods to a few recent topics of interest, and discuss implications for the computation of the conformal dimension. Several problems about the conformal gauges associated with these dynamical systems are also posed.

MSC:

37F20 Combinatorics and topology in relation with holomorphic dynamical systems
30L10 Quasiconformal mappings in metric spaces
28A80 Fractals

Citations:

Zbl 1206.37002
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