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HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS

  • SZE-MAN NGAI (a1) (a2) and YANG WANG (a1)

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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HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS

  • SZE-MAN NGAI (a1) (a2) and YANG WANG (a1)

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