Abstract
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.
Original language | American English |
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Journal | Ergodic Theory and Dynamical Systems |
Volume | 36 |
DOIs | |
State | Published - May 1 2016 |
Keywords
- Conformal contractions
- Hausdorff dimension
- Infinite iterated function
- Overlaps
- Separation conditions
- Topological pressure functions
DC Disciplines
- Education
- Mathematics