Overlapping Self-affine Sets

نویسنده

  • PABLO SHMERKIN
چکیده

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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تاریخ انتشار 2004