Mathematical Sciences: Faculty Presentations (1991-2022)

Infinite Iterated Function Systems With Overlaps

Document Type

Presentation

Presentation Date

12-11-2012

Copyright

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Abstract or Description

We extend the weak separation condition to infinite iterated function systems of conformal contractions with overlaps. It turns out that there are two natural but different extensions. We study the topological pressure functions associated with these separation conditions. We prove a dimension formula for the Hausdorff dimension of the limit sets under the bounded distortion property and these weak separation conditions. This is joint work with Ji-Xi Tong.

Sponsorship/Conference/Institution

International Conference on Advances in Fractals and Related Topics

Location

Shatin, NT, Hong Kong

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