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arXiv · 1509.04471

Strong coincidence and Overlap coincidence

Shigeki Akiyama
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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 $\ge 2$ 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.

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Shigeki Akiyama. 2015-09-15. Strong coincidence and Overlap coincidence. https://arxiv.org/abs/1509.04471

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