Hausdorff Dimension of Self‐Similar Sets with Overlaps

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Smoothness of the Lq‐Spectrum of Self‐Similar Measures with Overlaps (2003, methodology): “The finite type condition defined under the present setting is equivalent to the more general definition introduced in [16] where the contraction ratios ρj can be different for different Sj and the domain of Sj is .”
Golden gaskets: variations on the Sierpiński sieve (2003, methodology): “There have been some other studies of families of IFSs inR2 with both holes and overlaps [19] (and references therein), see also Remark 4.”