Mathematical Sciences: Faculty Publications
Conformal Iterated Function Systems with Overlaps
Document Type
Article
Publication Date
2011
Publication Title
Dynamical Systems: An International Journal
DOI
10.1080/14689367.2010.497478
ISSN
1468-9375
Abstract
For a conformal iterated function system satisfying the bounded distortion property and the weak separation condition, we prove a formula for the Hausdorff dimension of the attractor, and establish the equality between the Hausdorff dimension and the growth dimension. Furthermore, a relation between the open set condition and the weak separation condition is given.
Recommended Citation
Deng, Qi-Rong, Sze-Man Ngai.
2011.
"Conformal Iterated Function Systems with Overlaps."
Dynamical Systems: An International Journal, 26 (1): 103-123.
doi: 10.1080/14689367.2010.497478
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/125
Copyright
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