2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156097The Poisson and Martin boundaries for invariant random walks on the dual of the orthogonal quantum groups A_o(F), are identified with higher dimensional Podles spheres that we describe in terms of generators and relations. This provides the first such identification for random walks on non-amenable discrete quantum groups.Operator AlgebrasDynamical SystemsIdentification of the Poisson and Martin boundaries of orthogonal discrete quantum groupstext