Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups

By M. Bourdon, Bruce Kleiner. 2010

69 citations recorded by the source corpus.

We study combinatorial modulus on boundaries of hyperbolic Coxeter groups. We give new examples of hyperbolic groups whose boundary satisfies a combinatorial version of the Loewner property, and prove Cannon's conjecture for Coxeter groups. We also establish some connections with l^p cohomology.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/079e6aaa97e64fe4fdfa6caa1648a9e2721eab0f