On the equality of Hausdorff and box counting dimensions
- 1 April 1993
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 3 (2) , 119-125
- https://doi.org/10.1063/1.165970
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.Keywords
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