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Towards numerically estimating Hausdorff dimensions
Journal article   Open access  Peer reviewed

Towards numerically estimating Hausdorff dimensions

David E Stewart
The ANZIAM journal, Vol.42(4), pp.451-461
04/2001
DOI: 10.1017/S1446181100012207
url
https://doi.org/10.1017/S1446181100012207View
Published (Version of record) Open Access

Abstract

This paper gives a numerical method for estimating the Hausdorff-Besicovitch dimension where this differs from the fractal (or capacity or box-counting) dimension. The method has been implemented, and numerical results obtained for the set {1/n | n ∈ N} and the Cantor set. Comments about the practical use of the estimation algorithms are made.

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