Iterated Function Systems of Generalized Finite Type

Presenters/Authors

Ka-Sing Lau, The Chinese University of Hong KongFollow
Sze-Man Ngai, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

12-2004

Abstract or Description

For iterated function systems (IFS) of contractive similitudes on R^d, we introduce a generalized finite type condition which allows us to include some IFS's of contractive similitudes with overlaps whose contraction ratios are not exponentially commensurable. We show that this condition extends the finite type condition and the open set condition. It also implies the weak separation property. We also show that under this condition, the Hausdorff dimension of the attractor can be computed in terms of the spectral radius of a weighted incidence matrix.

Sponsorship/Conference/Institution

International Congress of Chinese Mathematicians (ICCM)

Location

Hong Kong, China

Recommended Citation

Lau, Ka-Sing, Sze-Man Ngai. 2004. "Iterated Function Systems of Generalized Finite Type." Department of Mathematical Sciences Faculty Presentations. Presentation 334.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/334