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 ̀p-cohomology.
- Geometric group theory
- Hyperbolic groups and nonpositively curved groups
- Quasiconformal mappings in metric spaces
ASJC Scopus subject areas
- Geometry and Topology
- Discrete Mathematics and Combinatorics