Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle
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Publication:4669808
DOI10.1088/0951-7715/18/2/006zbMath1062.28010OpenAlexW2066434415MaRDI QIDQ4669808
Publication date: 15 April 2005
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ac2c45ae06976a00c3cb53687355fe2dbc3147e9
Hausdorff measurecoveringspacking measureminimal densitymaximal densityself-similar tiling principle
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HAUSDORFF MEASURE OF CARTESIAN PRODUCT OF THE TERNARY CANTOR SET ⋮ Continuity of packing measure functions of self-similar iterated function systems ⋮ An algorithm for computing the centered Hausdorff measures of self-similar sets ⋮ Weakly controlled Moran constructions and iterated functions systems in metric spaces ⋮ On the packing measure of the Sierpinski gasket ⋮ Rate of convergence: the packing and centered Hausdorff measures of totally disconnected self-similar sets ⋮ An equivalent condition for the self similar sets on the real line to have best coverings ⋮ Exact Hausdorff and packing measure of certain Cantor sets, not necessarily self-similar or homogeneous ⋮ LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA ⋮ Irregularity index and spherical densities of the penta-Sierpinski gasket ⋮ Exact Hausdorff and packing measures of Cantor sets with overlaps ⋮ Self-similar sets with optimal coverings and packings ⋮ Computability of the packing measure of totally disconnected self-similar sets
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