Origami, affine maps, and complex dynamics
Arnold Mathematical Journal
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.
Link to Published Version
Floyd, W., Kelsey, G., Koch, S., Lodge, R., Parry, W., Pilgrim, K. M., & Saenz, E. (2017). Origami, affine maps, and complex dynamics. Arnold Mathematical Journal, 3(3), 365–395. https://doi.org/10.1007/s40598-017-0071-0