Title

Conformal Iterated Function Systems with Overlaps

Document Type

Article

Publication Date

2011

Publication Title

Dynamical Systems: An International Journal

DOI

10.1080/14689367.2010.497478

ISSN

1468-9375

Abstract

For a conformal iterated function system satisfying the bounded distortion property and the weak separation condition, we prove a formula for the Hausdorff dimension of the attractor, and establish the equality between the Hausdorff dimension and the growth dimension. Furthermore, a relation between the open set condition and the weak separation condition is given.

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