Combinatorial modulus, the combinatorial Loewner property, and Coxeter groups.
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.
quasiconformal mappings in metric spaces
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