Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
classification
🧮 math.DS
math.NT
keywords
periodicpisotpurelyappliesassociatedbetabeta-expansionbeta-numeration
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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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