Periodicity of certain piecewise affine planar maps

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dc.creatorAkiyama, Shigeki
dc.creatorBrunotte, Horst
dc.creatorPetho, Attila
dc.creatorSteiner, Wolfgang
dc.date2007-04-27
dc.date2008-09-16
dc.date.accessioned2026-07-07T10:02:37Z
dc.date.available2026-07-07T10:02:37Z
dc.descriptionWe determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for $λ\in\{\frac{\pm1\pm\sqrt5}2,\pm\sqrt2,\pm\sqrt3\}$ that all integer sequences $(a_k)_{k\in\mathbb Z}$ satisfying $0\le a_{k-1}+λa_k+a_{k+1}<1$ are periodic.
dc.identifierhttps://arxiv.org/abs/0704.3674
dc.identifierhttp://arxiv.org/abs/0704.3674
dc.identifierTsukuba Journal of Mathematics 32, 1 (2008) 197-251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169036
dc.subjectDynamical Systems
dc.subjectDiscrete Mathematics
dc.subjectNumber Theory
dc.titlePeriodicity of certain piecewise affine planar maps
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