The Lq-spectrum of a class of graph directed self-affine measures

The Lq-spectrum of measure is a basic ingredient in the study of fractal geometry, particularly in the study of multifractal phenomena. We calculate the Lq-spectrum for a class of graph directed self-affine measures. As an application, the Hausdorff dimensions of these measures and the box-counting...

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Bibliographic Details
Published in:Dynamical systems (London, England) England), 2009-12, Vol.24 (4), p.517-536
Main Authors: Ni, Tian-Jia, Wen, Zhi-Ying
Format: Article
Language:English
Online Access:Get full text
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Summary:The Lq-spectrum of measure is a basic ingredient in the study of fractal geometry, particularly in the study of multifractal phenomena. We calculate the Lq-spectrum for a class of graph directed self-affine measures. As an application, the Hausdorff dimensions of these measures and the box-counting dimensions of the support sets are obtained.
ISSN:1468-9367
DOI:10.1080/14689360903143722