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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140295This 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.Dynamical SystemsNumber Theory11A63; 03D45; 11S99; 28A75; 52C23Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansionstext