Conformal Iterated Function Systems with Overlaps

Presenters/Authors

Sze-Man Ngai, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

7-6-2009

Abstract or Description

We study the invariant set and invariant measures defined by a finite iterated function systems of conformal contractions that satisfy the bounded distortion property and the weak separation condition. Results concerning the dimensions of the attractor and singularity of the associated self conformal measures and will be discussed.

Sponsorship/Conference/Institution

Workshop on Fractals and Tilings

Location

Strobl, Austria

Recommended Citation

Ngai, Sze-Man. 2009. "Conformal Iterated Function Systems with Overlaps." Department of Mathematical Sciences Faculty Presentations. Presentation 350.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/350