10 citations · 17 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Constructing subdivision rules from rational maps
J. W. Cannon, W. J. Floyd, W. R. Parry
This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is that if f is a critically finite rational map with no p…