On the equality of Hausdorff and box counting dimensions
chao-dyn
2009-10-22 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9303007,
title = {On the equality of Hausdorff and box counting dimensions},
author = {Ronnie Mainieri},
journal= {arXiv preprint arXiv:chao-dyn/9303007},
year = {2009}
}
Comments
CYCLER Paper 93mar001 Latex file with 3 PostScript figures (needs psfig.sty)