Hausdorff, Packing and Capacity Dimensions Page: 3
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dimension and the packing measure. When the graph is
strongly connected, there is a constant so that the constant
times the Hausdorff measure is greater than or equal to the
packing measure when a subset of the realization is
evaluated. Self—affine Sierpinski carpets, which have been
analyzed by McMullen with respect to their Hausdorff
dimension and capacity dimension, are analyzed with respect
to their packing dimension. Conditions under which the
Hausdorff measure of the construction object is positive and
finite are given.
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Spear, Donald W. Hausdorff, Packing and Capacity Dimensions, dissertation, August 1989; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc330990/m1/3/: accessed April 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; .