Marta Llorente

  1. An algorithm for computing the centered Hausdorff measure of self-similar sets.

    Authors: Marta Llorente, Manuel Morán
    Subjects: Metric Geometry
    Abstract

    We provide an algorithm for computing the centered Hausdorff measure of
    self-similar sets satisfying the strong separation condition. We prove the
    convergence of the algorithm and test its utility on some examples.

  2. Lipschitz equivalence of subsets of self-conformal sets.

    Authors: Pertti Mattila, Marta Llorente
    Subjects: Metric Geometry
    Abstract

    We give sufficient conditions to guarantee that if two self-conformal sets E
    and F have Lipschitz equivalent subsets of positive measure, then there is a
    bilipschitz map of E into, or onto, F.

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