Mathematical Sciences: Faculty Publications
Infinite Iterated Function Systems With Overlaps
Document Type
Article
Publication Date
5-2016
Publication Title
Ergodic Theory and Dynamical Systems
DOI
10.1017/etds.2014.86
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.
Recommended Citation
Ngai, Sze-Man, Ji-Xi Tong.
2016.
"Infinite Iterated Function Systems With Overlaps."
Ergodic Theory and Dynamical Systems, 36 (3): 890-907.
doi: 10.1017/etds.2014.86
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/403
Copyright
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