Highly Influenced

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.

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