Strong coincidence and overlap coincidence
Shigeki Akiyama · Discrete and Continuous Dynamical Systems · 2016
We show that strong coincidences of a certain many choices ofcontrol points are equivalent to overlap coincidence forthe suspension tiling of Pisot substitution.The result is valid for dimension $\ge 2$ as well, under certain topologicalconditions.This resultgives a converse of the paper [2]and elucidates the tight relationship between two coincidences.