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

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dc.creatorAkiyama, S.
dc.creatorBarat, G.
dc.creatorBerthe, V.
dc.creatorSiegel, A.
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:37:08Z
dc.date.available2026-07-07T08:37:08Z
dc.descriptionThis 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.
dc.identifierhttps://arxiv.org/abs/0710.3584
dc.identifierhttp://arxiv.org/abs/0710.3584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140295
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject11A63; 03D45; 11S99; 28A75; 52C23
dc.titleBoundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
dc.typetext

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