Separation Conditions for Iterated Function Systems with Overlaps
Document Type
Article
Publication Date
2013
Publication Title
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics
DOI
10.1090/conm/600
Abstract
For iterated function systems that have overlaps, various separation conditions have been formulated in the literature to replace the open set condition: the weak separation condition, the weak separation condition*, the finite type condition, and the generalized finite type condition. In this paper we summarize some of the major results concerning these conditions, and clarify their relationships. We also study the question on choosing the invariant open set in the finite type condition.
Recommended Citation
Deng, Qi-Rong, Ka-Sing Lau, Sze-Man Ngai.
2013.
"Separation Conditions for Iterated Function Systems with Overlaps."
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics: 1-20: American Mathematical Society.
doi: 10.1090/conm/600
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/130
