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- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Institute for Mathematical Sciences (IMS), Stony Brook University, NY
- Subject
- Mathematics; Mathematics, general
- ISSN
- 2199-6792
- eISSN
- 2199-6806
- DOI
- 10.1007/s40598-017-0071-0
- Publisher site
- See Article on Publisher Site
Abstract
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.
Journal
Arnold Mathematical Journal – Springer Journals
Published: Aug 22, 2017