Self-similar sets 7, A characterization of self-similar fractals with positive Hausdorff measure

@inproceedings{Bandt1992SelfsimilarS7,
  title={Self-similar sets 7, A characterization of self-similar fractals with positive Hausdorff measure},
  author={Christoph Bandt and Siegfried Graf},
  year={1992}
}
For self-similar sets with nonoverlapping pieces, Hausdorff dimension and measure are easily determined. We express absence of overlap in terms of discontinuous action of a family of similitudes, thus improving the usual open set condition 
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