Infinite Iterated Function Systems With Overlaps
Ergodic Theory and Dynamical Systems
We formulate two natural but different extensions of the weak separation condition to infinite iterated function systems of conformal contractions with overlaps, and study the associated topological pressure functions. We obtain a formula for the Hausdorff dimension of the limit sets under these weak separation conditions.
Ngai, Sze-Man, Ji-Xi Tong.
"Infinite Iterated Function Systems With Overlaps."
Ergodic Theory and Dynamical Systems, 36 (3): 890-907.