Marc Bourdon

  1. Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups.

    Authors: Bruce Kleiner, Marc Bourdon
    Subjects: Group Theory
    Abstract

    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.

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