Origami, Affine Maps, and Complex Dynamics

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 invarian...

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Veröffentlicht in:Arnold mathematical journal 2017-09, Vol.3 (3), p.365-395
Hauptverfasser: Floyd, William, Kelsey, Gregory, Koch, Sarah, Lodge, Russell, Parry, Walter, Pilgrim, Kevin M., Saenz, Edgar
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Mathematics
Mathematics and Statistics
Research Contribution
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Beschreibung
Zusammenfassung: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:2199-6792
2199-6806
DOI:10.1007/s40598-017-0071-0