Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems

Simple item page
dc.creatorBressaud, Xavier
dc.creatorDurand, Fabien
dc.creatorMaass, Alejandro
dc.date2008-01-30
dc.date.accessioned2026-07-07T08:57:16Z
dc.date.available2026-07-07T08:57:16Z
dc.descriptionWe give necessary and sufficient conditions to have measurable and continuous eigenfunctions for linearly recurrent Cantor dynamical systems. We also construct explicitly an example of linearly recurrent system with nontrivial Kronecker factor and a trivial maximal equicontinuous factor.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0801.4619
dc.identifierhttp://arxiv.org/abs/0801.4619
dc.identifierJournal of the London Mathematical Society 72, 3 (2005) 799-816
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146900
dc.subjectDynamical Systems
dc.subject37B20 (37A05 54H20)
dc.titleNecessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems
dc.typetext

Files

Collections

arXiv