Overlapping Self-affine Sets


We study families of possibly overlapping self-affine sets. Our main example is a family that can be considered the self-affine version of Bernoulli convolutions and was studied, in the non-overlapping case, by F. Przytycki and M. Urbański [23]. We extend their results to the overlapping region and also consider some extensions and generalizations. 


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@inproceedings{Shmerkin2004OverlappingSS, title={Overlapping Self-affine Sets}, author={Pablo Shmerkin}, year={2004} }