Interval projections of self-similar sets
Dynamical Systems
2018-10-17 v2
Abstract
We show that if is a self-similar -set that is not contained in a line and either satisfies the strong separation condition or is defined via homotheties then there are at most finitely many lines through the origin such that the projection of onto them is an interval.
Keywords
Cite
@article{arxiv.1611.05948,
title = {Interval projections of self-similar sets},
author = {Ábel Farkas},
journal= {arXiv preprint arXiv:1611.05948},
year = {2018}
}