On the equality of Hausdorff and box counting dimensions

Details On the equality of Hausdorff and box counting dimensions On the equality of Hausdorff and box counting dimensions

1993-03-03

arxiv.org/abs/chao-dyn/9303007v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93mar001 Latex file with 3 PostScript figures (needs psfig.sty)

Scientific paper

10.1063/1.165970

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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