Examples of coarse expanding conformal maps
Dynamical Systems
2013-02-11 v1
Abstract
In previous work, a class of noninvertible topological dynamical systems 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.
Cite
@article{arxiv.1011.0085,
title = {Examples of coarse expanding conformal maps},
author = {Peter Haissinsky and Kevin M. Pilgrim},
journal= {arXiv preprint arXiv:1011.0085},
year = {2013}
}