Strong coincidence and Overlap coincidence
Dynamical Systems
2015-09-16 v1
Abstract
We show that strong coincidences of a certain many choices of control points are equivalent to overlap coincidence for the suspension tiling of Pisot substitution. The result is valid for degree as well, under certain topological conditions. This result gives a converse of the paper by Akiyama-Lee and elucidates the tight relationship between two coincidences.
Keywords
Cite
@article{arxiv.1509.04471,
title = {Strong coincidence and Overlap coincidence},
author = {Shigeki Akiyama},
journal= {arXiv preprint arXiv:1509.04471},
year = {2015}
}
Comments
By mistake, I did not put this on ArXiv earlier