Conformal Iterated Function Systems with Overlaps

Authors

Qi-Rong Deng, Fujian Normal UniversityFollow
Sze-Man Ngai, Georgia Southern UniversityFollow

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