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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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:
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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