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Overlapping self-affine sets

Pablo Shmerkin
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Abstract

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.Urbanski. We extend their results to the overlapping region and also consider some extensions and generalizations.

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Pablo Shmerkin. 2004-08-16. Overlapping self-affine sets. https://doi.org/10.1512/iumj.2006.55.2718

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