On weak separation property for self-affine Jordan arcs
Metric Geometry
2020-06-24 v1 Geometric Topology
Abstract
We consider self-affine arcs in and prove that violation of "inner" weak separation property for such arcs implies that the arc is a parabolic segment. Therefore, if a self-affine Jordan arc is not a parabolic segment, then it is the attractor of some multizipper.
Cite
@article{arxiv.2006.13199,
title = {On weak separation property for self-affine Jordan arcs},
author = {Andrei Tetenov and Olesya Chelkanova},
journal= {arXiv preprint arXiv:2006.13199},
year = {2020}
}