1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2009
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…
math.CV2008
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…
math.DS2007★ 1 cited
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…