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Showing 1 to 5 of 5 for “"Hausdorff measures"”.
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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 …
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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 …
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Hausdorff Dimension of Wildly Embedded Zero Dimensional Subspaces of R³
No abstract prepared.
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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 …