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.

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