Article
Conformal Iterated Function Systems with Overlaps
Dynamical Systems: An International Journal
Document Type
Article
Publication Date
1-1-2011
DOI
10.1080/14689367.2010.497478
Disciplines
- Education and
- Mathematics
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.
Citation Information
Qi-Rong Deng and Sze-Man Ngai. "Conformal Iterated Function Systems with Overlaps" Dynamical Systems: An International Journal Vol. 26 Iss. 1 (2011) p. 103 - 123 ISSN: 1468-9375 Available at: http://works.bepress.com/sze-man_ngai/30/