Overlapping self-affine sets
Classical Analysis and ODEs
2013-03-19 v1
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.
Keywords
Cite
@article{arxiv.math/0408203,
title = {Overlapping self-affine sets},
author = {Pablo Shmerkin},
journal= {arXiv preprint arXiv:math/0408203},
year = {2013}
}
Comments
36 pages, 2 figures