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arXiv · 0710.3584

Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions

S. Akiyama·G. Barat·V. Berthe·A. Siegel
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Abstract

This paper studies tilings related to the beta-transformation when beta is a Pisot number (that is not supposed to be a unit). Then it applies the obtained results to study the set of rational numbers having a purely periodic beta-expansion. Special focus is given to some quadratic examples.

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S. Akiyama, G. Barat, V. Berthe, A. Siegel. 2007-10-18. Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions. https://arxiv.org/abs/0710.3584

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