Now showing items 1-4 of 4

  • Neshveyev, Sergey; Malacarne, Sara (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
    Given a free unitary quantum group G = Au(F), with F not a unitary 2-by-2 matrix, we show that the Martin boundary of the dual of G with respect to any G-Gˆ-invariant, irreducible, finite range quantum random walk coincides ...
  • Malacarne, Sara (Doctoral thesis / Doktoravhandling, 2018)
    Quantum groups are a noncommutative extension of the notion of a group and first appeared in the context of quantum mechanics. Now the theory of quantum groups has further developed and has become interesting in its own ...
  • Malacarne, Sara; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive, possibly unbounded, harmonic function on H with respect to an irreducible invariant random walk is G-invariant. This ...
  • Malacarne, Sara (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
    Given a finite-dimensional Hilbert space H and a collection of operators between its tensor powers satisfying certain properties, we give a short proof of the existence of a compact quantum group G with a fundamental ...