Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
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. Secial focus is given to some quadratic examples.
Domains
Number Theory [math.NT]
Origin : Files produced by the author(s)
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