Title

Hausdorff Dimension of Self-Similar Sets with Overlaps

Document Type

Article

Publication Date

6-2001

Publication Title

Journal of London Mathematical Society

DOI

10.1017/S0024610701001946

ISSN

1469-7750

Abstract

The notion of ‘finite type’ iterated function systems of contractive similitudes is introduced, and a scheme for computing the exact Hausdorff dimension of their attractors in the absence of the open set condition is described. This method extends a previous one by Lalley, and applies not only to the classes of self-similar sets studied by Edgar, Lalley, Rao and Wen, and others, but also to some new classes that are not covered by the previous ones.

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