On the equality of Hausdorff and box counting dimensions
classification
chao-dyn
nlin.CD
keywords
capacityhausdorffmultifractalcomputedcountingcoversdescribeddimension
read the original abstract
By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension are expected to be equal.
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