English

Examples of coarse expanding conformal maps

Dynamical Systems 2013-02-11 v1

Abstract

In previous work, a class of noninvertible topological dynamical systems f:XXf: 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.

Keywords

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}
}
R2 v1 2026-06-21T16:36:29.390Z