Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems

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dc.creatorCortez, Maria Isabel
dc.creatorDurand, Fabien
dc.creatorHost, Bernard
dc.creatorMaass, Alejandro
dc.date2008-01-30
dc.date.accessioned2026-07-07T08:57:16Z
dc.date.available2026-07-07T08:57:16Z
dc.descriptionThe class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitution subshifts and odometers measure--theoretical and continuous eigenvalues are the same. It is natural to ask whether this rigidity property remains true for the class of linearly recurrent Cantor systems. We give partial answers to this question.
dc.identifierhttps://arxiv.org/abs/0801.4616
dc.identifierhttp://arxiv.org/abs/0801.4616
dc.identifierJournal of the London Mathematical Society 67, 3 (2003) 790-804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146899
dc.subjectDynamical Systems
dc.subject37B20 (Primary); 37A05, 37A25, 54H20 (Secondary)
dc.titleContinuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems
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