Super-exponential condensation without exact overlaps
Dynamical Systems
2020-12-14 v4
Abstract
We exhibit self-similar sets on the line which are not exponentially separated and do not generate any exact overlaps. Our result shows that the exponential separation, introduced by Hochman in his groundbreaking theorem on the dimension of self-similar sets, is too weak to describe the full theory.
Cite
@article{arxiv.1910.04623,
title = {Super-exponential condensation without exact overlaps},
author = {Balázs Bárány and Antti Käenmäki},
journal= {arXiv preprint arXiv:1910.04623},
year = {2020}
}
Comments
16 pages, 1 figure