Overlapping self-affine sets

Details Overlapping self-affine sets Overlapping self-affine sets

2004-08-16

arxiv.org/abs/math/0408203v1

Mathematics

Classical Analysis and ODEs

36 pages, 2 figures

Scientific paper

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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