10 citations · 17 across the 9 of their papers we have counts for
10 papers
Growth series for expansion complexes
James W. Cannon, William J. Floyd, Walter R. Parry
This paper is concerned with growth series for expansion complexes for finite subdivision rules. Suppose X is an expansion complex for a finite subdivision rule with bounded valenc…
Bi-twist manifolds and two-bridge knots
J. W. Cannon, W. J. Floyd, L. Lambert +2
We give uniform, explicit, and simple face-pairing descriptions of all the branched cyclic covers of the 3-sphere, branched over two-bridge knots. Our method is to use the bi-twist…
Nearly Euclidean Thurston maps
James W. Cannon, William J. Floyd, Walter R. Parry +1
We introduce and study a class of Thurston maps from the 2-sphere to itself which we call nearly Euclidean Thurston (NET) maps. These are simple generalizations of Euclidean Thurst…
Amenability, Folner sets, and cooling functions
J. W. Cannon, W. J. Floyd, W. R. Parry
Erling Folner proved that the amenability or nonamenability of a countable group depends on the complexity of its finite subsets. Complexity has three measures: maximum Folner rati…
Lattes maps and finite subdivision rules
J. W. Cannon, W. J. Floyd, W. R. Parry
This paper is concerned with realizing Lattes maps as subdivision maps of finite subdivision rules. The main result is that the Lattes maps in all but finitely many analytic conjug…
Squaring rectangles for dumbbells
J. W. Cannon, W. J. Floyd, W. R. Parry
The theorem on squaring a rectangle from a tiling of a quadrilateral (Schramm and Cannon-Floyd-Parry) gives a combinatorial version of the Riemann mapping theorem. We elucidate by…