Mathematical Sciences: Faculty Publications
Graph-Directed Iterated Function Systems with Overlaps
Document Type
Article
Publication Date
2004
Publication Title
Indiana University Mathematics Journal
ISSN
0022-2518
Abstract
We extend the finite type condition to graph-directed iterated function systems with overlaps. Under this condition, we describe algorithms to compute the box dimension and Hausdorff dimension of the corresponding graph self-similar sets and show that these dimensions agree; moreover, the Hausdorff measure of these sets is shown to be strictly positive.
Recommended Citation
Das, Manav, Sze-Man Ngai.
2004.
"Graph-Directed Iterated Function Systems with Overlaps."
Indiana University Mathematics Journal, 53 (1): 109-134.
source: https://www.jstor.org/stable/24903460?seq=1#page_scan_tab_contents
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/601
Copyright
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