Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups. (Q1943729): Difference between revisions

Summary: 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 \(\ell_p\)-cohomology.