Examples of coarse expanding conformal maps

Details Examples of coarse expanding conformal maps Examples of coarse expanding conformal maps

2010-10-30

arxiv.org/abs/1011.0085v1

Mathematics

Dynamical Systems

Scientific paper

In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced and studied; we called these {\em topologically coarse expanding conformal} systems. To such a system is naturally associated a preferred quasisymmetry (indeed, snowflake) class of metrics in which arbitrary iterates distort roundness and ratios of diameters by controlled amounts; we called this {\em metrically coarse expanding conformal}. In this note we extend the class of examples to several more familiar settings, give applications of our general methods, and discuss implications for the computation of conformal dimension.

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