10 citations · 26 across the 11 of their papers we have counts for
16 papers
Realizing polynomial portraits
William Floyd, Daniel Kim, Sarah Koch +2
It is well known that the dynamical behavior of a rational map is governed by the forward orbits of the critical points of . The m…
Expansion properties for finite subdivision rules II
William Floyd, Walter Parry, Kevin M. Pilgrim
We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is isotopic to the subdivi…
Rationality is decidable for nearly Euclidean Thurston maps
William Floyd, Walter Parry, Kevin M. Pilgrim
Nearly Euclidean Thurston (NET) maps are described by simple diagrams which admit a natural notion of size. Given a size bound , there are finitely many diagrams of size at most…
Modular groups, Hurwitz classes and dynamic portraits of NET maps
William Floyd, Walter Parry, Kevin M. Pilgrim
An orientation-preserving branched covering is a nearly Euclidean Thurston (NET) map if each critical point is simple and its postcritical set has exactly four poi…
Presentations of NET maps
William Floyd, Walter Parry, Kevin M. Pilgrim
A branched covering is a nearly Euclidean Thurston (NET) map if each critical point is simple and its postcritical set has exactly four points. We show that up to…
Origami, affine maps, and complex dynamics
William Floyd, Gregory Kelsey, Sarah Koch +4
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 a…