Expansion properties for finite subdivision rules I
Dynamical Systems
2015-08-04 v1
Abstract
Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-sphere to itself), those that arise as subdivision maps of a finite subdivision rule form a special family. For such maps, we investigate relationships between various notions of expansion---combinatorial, dynamical, algebraic, and coarse-geometric.
Cite
@article{arxiv.1508.00547,
title = {Expansion properties for finite subdivision rules I},
author = {William J. Floyd and Walter R. Parry and Kevin M. Pilgrim},
journal= {arXiv preprint arXiv:1508.00547},
year = {2015}
}