Title

Graph-Directed Iterated Function Systems with Overlaps

Document Type

Article

Publication Date

2004

Publication Title

Indiana University Mathematics Journal

ISSN

0022-2518

Abstract

We extend the finite type condition to graph-directed iterated function systems with overlaps. Under this condition, we describe algorithms to compute the box dimension and Hausdorff dimension of the corresponding graph self-similar sets and show that these dimensions agree; moreover, the Hausdorff measure of these sets is shown to be strictly positive.

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