Global ETD Search

Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.

Results

Showing 1 to 5 of 5 for “"Hausdorff measures"”.

  1. A tensor product approach to non-local differential complexes

    … Hodge Laplacians. For the case of _d_-regular measures and operators of fractional Laplacian type, we provide results on removable sets in terms of Hausdorff measures. We prove a Mayer-Vietoris principle and a Poincaré lemma, and show that, in the compact Riemannian manifold case, the de Rham …

    bielefeld Repository record for A tensor product approach to non-local differential complexes (opens in a new tab)

  2. Dynamics of Iterated Functions Systems: Hausdorff Dimension and Related Topics

    This thesis explores the Hausdorff dimension of fractal sets generated by iterated function systems (IFS). Hutchinson studied IFS and obtained a useful formula to compute the Hausdorff dimension of fractals generated by a finite family of disjoint similar IFS, where by disjoint we mean the IFS …

    uiuc Repository record for Dynamics of Iterated Functions Systems: Hausdorff Dimension and Related Topics (opens in a new tab)

  3. Computability and Fractal Dimension

    … and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic approach to Hausdorff measures makes it possible to define the Hausdorff dimension of individual points instead of sets in a metric space. This idea was first realized by Lutz (2000). Working in the Cantor space …

    heid-diss Repository record for Computability and Fractal Dimension (opens in a new tab)