Towards numerically estimating Hausdorff dimensions

Authors
Stewart, DE
Citation
De. Stewart, Towards numerically estimating Hausdorff dimensions, ANZIAM J, 42, 2001, pp. 451-461
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ANZIAM JOURNAL
ISSN journal
14424436 → ACNP
Volume
42
Year of publication
2001
Part
4
Pages
451 - 461
Database
ISI
SICI code
1442-4436(200104)42:<451:TNEHD>2.0.ZU;2-7
Abstract
This paper gives a numerical method for estimating the Rausdorff-Besicovitc h dimension where this differs from the fractal (or capacity or box-countin g) dimension. The method has been implemented, and numerical results obtain ed for the set {1/n \ n is an element of N} and the Canter set. Comments ab out the practical use of the estimation algorithms are made.