Origami, affine maps, and complex dynamics

We investigate the combinatorial and dynamical properties of so-called nearly Euclidean Thurston maps, or NET maps. These maps are perturbations of many-to-one folding maps of an affine two-sphere to itself. The close relationship between NET maps and affine maps makes computation of many invariants...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Floyd, William, Kelsey, Gregory, Koch, Sarah, Lodge, Russell, Parry, Walter, Pilgrim, Kevin M, Saenz, Edgar
Format: Article
Language:English
Subjects:
Combinatorial analysis
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the combinatorial and dynamical properties of so-called nearly Euclidean Thurston maps, or NET maps. These maps are perturbations of many-to-one folding maps of an affine two-sphere to itself. The close relationship between NET maps and affine maps makes computation of many invariants tractable. In addition to this, NET maps are quite diverse, exhibiting many different behaviors. We discuss data, findings, and new phenomena.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.06449