2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GT2017★ 2 cited
Subdivision rules for all Gromov hyperbolic groups
Brian Rushton
This paper shows that every Gromov hyperbolic group can be described by a finite subdivision rule acting on the 3-sphere. This gives a boundary-like sequence of increasingly refine…
math.GT2012
Subdivision rules and the eight model geometries
Brian Rushton
Cannon and Swenson have shown that each hyperbolic 3-manifold group has a natural subdivision rule on the space at infinity, and that this subdivision rule captures the action of t…
math.GT2011
A circle packing proof of the Combinatorial Riemann Mapping Theorem
Brian Rushton
The traditional Riemann Mapping Theorem can be proved with circle packing techniques. We prove the Combinatorial Riemann Mapping Theorem for tilings of bounded size using circle pa…