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Hanan, William G. and Heffernan, Daniel (2001) Geometrical multifractality of the perimeter of DLA clusters. Chaos, Solitons and Fractals, 34 (13). pp. 193-195.
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Official URL: https://www.journals.elsevier.com/chaos-solitons-a...
Abstract
The geometrical multifractality of diffusion-limited aggregation (DLA) clusters is investigated by evaluating the Dq spectrum for
qP0 using the standard box-counting technique. Using the cluster points themselves as input to the algorithm, deviations were found
from the expected multifractal scaling. However on examining the geometric scaling properties of the cluster perimeter, such deviations
were found to be signicantly reduced, thus allowing a reliable Dq spectrum to be calculated. Ó 2000 Elsevier Science Ltd. All rights
reserved.
| Item Type: | Article |
|---|---|
| Keywords: | geometrical multifractality; perimeter; DLA clusters; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 9705 |
| Depositing User: | Prof. Daniel Heffernan |
| Date Deposited: | 20 Jul 2018 09:20 |
| Journal or Publication Title: | Chaos, Solitons and Fractals |
| Publisher: | Elsevier |
| Refereed: | Yes |
| URI: | https://mu.eprints-hosting.org/id/eprint/9705 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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