Conformal Iterated Function Systems with OverlapsDynamical Systems: An International Journal
- Education and
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 InformationQi-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/