We study combinatorial modulus on self-similar metric spaces. We give new examples of hyperbolic groups whose boundaries satisfy a combinatorial version of the Loewner property, and prove Cannon’s conjecture for Coxeter groups. We also establish some connections with -cohomology.
Cite this article
Marc Bourdon, Bruce Kleiner, Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups. Groups Geom. Dyn. 7 (2013), no. 1, pp. 39–107DOI 10.4171/GGD/177