Infinite Iterated Function Systems With Overlaps
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.
Chinese National Conference on Fractal Theory and Dynamical Systems
"Infinite Iterated Function Systems With Overlaps."
Mathematical Sciences Faculty Presentations.