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Towards numerically estimating Hausdorff dimensions

Published online by Cambridge University Press:  17 February 2009

David E. Stewart
David E. Stewart
Affiliation:
Mathematics Department, University of Iowa, Iowa City, IA 52242, USA.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 451 - 461
Copyright
Copyright © Australian Mathematical Society 2001

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